Introduction to General Relativity

Lewis Ryder

doi:10.1017/CBO9780511809033

References

Adler, R., Bazin, M. & Schiffer, M. (1975), Introduction to General Relativity (2nd edn), New York: McGraw-Hill

Aitchison, I. J. R. & Hey, A. J. G. (1982), Gauge Theories in Particle Physics, Bristol: Adam Hilger

Alpher, R. A., Bethe, H. & Gamow, G. (1948), The origin of chemical elements, Physical Review 73, 803–804

Alpher, R. A. & Herman, R. C. (1948a), Evolution of the Universe, Nature 162, 774–775

Alpher, R. A. & Herman, R. C. (1948b), On the relative abundance of the elements, Physical Review 74, 1737–1742

Anderson, J. L. (1967), Principles of Relativity Physics, New York: Academic Press

Anderson, R., Bilger, H. R. & Stedman, G. E. (1994), ‘Sagnac’ effect: a century of Earth-rotated interferometers, American Journal of Physics 62, 975–985

Arfken, G. (1970), Mathematical Methods for Physicists (2nd edn), New York: Academic Press

Arnowitt, R., Deser, S. & Misner, C. W. (1962), The dynamics of General Relativity, in Witten, L. (ed.), Gravitation: An Introduction to Current Research, New York: Wiley; http://arXiv.org:gr-qc/0405109

Ashcroft, N. W. & Mermin, N. D. (1976), Solid State Physics, Philadelphia: Saunders

Bacry, H. (1977), Lectures on Group Theory and Particle Theory, New York: Gordon and Breach

Bailin, D. & Love, A. (1987), Kaluza-Klein theories, Reports on Progress in Physics 50, 1087–1170

Barbashov, B. M., Pervushin, V. N. & Pawlowski, M. (2001), Time-reparametrization-invariant dynamics of relativistic systems, Элеменmарных Часmuц u Аmомноsƨо Ядра (Dubna) 32, 546

Barbour, J. B. & Pfister, H. (1995), Mach's Principle: From Newton's Bucket to Quantum Gravity, Boston: Birkhäuser

Bardeen, J., Cooper, L. N. & Schrieffer, J. R. (1957), Theory of superconductivity, Physical Review 108, 1175–1204

Bardeen, J. M., Carter, B. & Hawking, S. W. (1973), The four laws of black hole mechanics, Communications in Mathematical Physics 31, 161–170

Barish, B. C. (2002), Gravitational waves: the new generation of laser interferometric detectors, in Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity (Gurzadyan, V. G., Jantzen, R. T. & Ruffini, R., eds), Singapore: World Scientific

Bażański, S. (1962), The problem of motion, in Recent Developments in General Relativity, Oxford: Pergamon Press, and Warszawa: PWN Polish Scientific Publishers

Bekenstein, J. D. (1980), Black-hole thermodynamics, Physics Today, January 1980, 24–31

Bergmann, P. G. (1942), Introduction to the Theory of Relativity, New York: Prentice-Hall

Berry, M. V. (1976), Principles of Cosmology and Gravitation, Cambridge: Cambridge University Press

Bethe, H. (1939), On energy generation in stars, Physical Review 55, 434–456

Bjorken, J. D. & Drell, S. D. (1964), Relativistic Quantum Mechanics, New York: McGraw-Hill

Blagojević, M. (2002), Gravitation and Gauge Symmetries, Bristol, Philadelphia: Institute of Physics Publishing

Bondi, H. (1960), Cosmology (2nd edn), Cambridge: Cambridge University Press

Bondi, H. & Samuel, J. (1997), The Lense–Thirring effect and Mach's principle, Physics Letters A 228, 121–126

Bonnor, W. B. & Steadman, B. R. (1999), The gravitomagnetic clock effect, Classical and Quantum Gravity 16, 1853–1861

Börner, G. (1988), The Early Universe: Facts and Fiction, Berlin: Springer-Verlag

Bousso, R. (2002), The holographic principle, Reviews of Modern Physics 74, 825–874; http://arXiv.org:hep-th/0203101

Boyer, R. H. & Lindquist, R. W. (1967), Maximal analytic extension of the Kerr metric, Journal of Mathematical Physics 8, 265–281

Bradaschia, C. & Desalvo, R. (2007), A global network listens for ripples in space-time, CERN Courier, December, p. 17

Brault, J. (1963), Gravitational red shift of solar lines, Bulletin of the American Physical Society 8, 28

Brill, D. B. & Cohen, J. M. (1966), Cartan frames and the general relativistic Dirac equation, Journal of Mathematical Physics 7, 238–243

Brown, L. S. (1992), Quantum Field Theory¸Cambridge: Cambridge University Press

Bruhat, Y. (1962), The Cauchy problem, in Witten, L. (ed.), Gravitation: An Introduction to Current Research, New York: Wiley

Burcham, W. E. & Jobes, M. (1995), Nuclear and Particle Physics, Harlow: Longman Scientific and Technical

Cao, Tian Yu (1997), Conceptual Developments of 20th Century Field Theories, Cambridge: Cambridge University Press

Carroll, B. W. & Ostlie, D. A. (1996), An Introduction to Modern Astrophysics, Reading, Massachusetts: Addison-Wesley

Cartan, E. (2001), Riemannian Geometry in an Orthogonal Frame, Singapore: World Scientific

Cartan, H. (1967, 1971), Formes Différentielles: Applications Élémentaires au Calcul et à la Théorème des Courbes et des Surfaces, Paris: Hermann (1967); Differential Forms, London: Kershaw Publishing Company (1971)

Carter, B. (1979), The general theory of the mechanical, electromagnetic and thermodynamic properties of black holes, in Hawking, S. W. & Israel, W. (eds.), General Relativity: An Einstein Centenary Survey, Cambridge: Cambridge University Press

Chandrasekhar, S. (1931a), The density of white dwarf stars, Philosophical Magazine 11, 592–596

Chandrasekhar, S. (1931b), The maximum mass of ideal white dwarfs, Astrophysical Journal 74, 81–82

Chandrasekhar, S. (1969), Some historical notes, American Journal of Physics 37, 577–584

Chandrasekhar, S. (1972), The increasing role of general relativity in astronomy, Observatory 92, 160–174

Chapman, T. C. & Leiter, D. J. (1976), On the generally covariant Dirac equation, American Journal of Physics 44, 858–862

Cheng, T-P. & Li, L-F. (1984), Gauge Theory of Elementary Particle Physics, Oxford: Clarendon Press

Choquet-Bruhat, Y. (1968), Géométrie Différentielle et Systèmes Extérieurs, Paris: Dunod

Choquet-Bruhat, Y., DeWitt-Morette, C. & Dillard-Bleick, M. (1982), Analysis, Manifolds and Physics (rev. edn), Amsterdam: North-Holland

Chow, W. W.et al. (1985), The ring laser gyro, Reviews of Modern Physics 57, 61–104

Christodoulou, D. (1970), Reversible and irreversible transformations in black hole physics, Physical Review Letters 25, 1596–1597

Ciufolini, I. (1995), Dragging of inertial frames, gravitomagnetism and Mach's Principle, in Barbour, J. B. & Pfister, H. (eds.), Mach's Principle: From Newton's Bucket to Quantum Gravity, Boston: Birkhäuser

Ciufolini, I. & Pavlis, E. C. (2004), A confirmation of the general relativistic prediction of the Lense–Thirring effect, Nature 431, 958–960

Ciufolini, I. & Wheeler, J. A. (1995), Gravitation and Inertia, Princeton: Princeton University Press

Clarke, C. J. S. (1993), The Analysis of Space-Time Singularities, Cambridge: Cambridge University Press

Cohen-Tannoudji, C., Diu, B. & Laloë, F. (1977), Mécanique Quantique, Paris: Hermann; Quantum Mechanics, New York: Wiley

Colella, R., Overhauser, A. W. & Werner, S. A. (1975), Observation of gravitationally induced quantum interference, Physical Review Letters 34, 1472–1474

Coles, P. & Ellis, G. F. R. (1997), Is the Universe Open or Closed?: The Density of Matter in the Universe, Cambridge: Cambridge University Press

Cottingham, W. N. & Greenwood, D. A. (1998), An Introduction to the Standard Model of Particle Physics, Cambridge: Cambridge University Press

Crampin, M. & Pirani, F. A. E. (1986), Applicable Differential Geometry, Cambridge: Cambridge University Press

Davis, W. R. (1970), Classical Fields, Particles, and the Theory of Relativity, New York: Gordon & Breach

Felice, F. & Clarke, C. J. S. (1990), Relativity on Curved Manifolds, Cambridge: Cambridge University Press

Wit, B. & Smith, J. (1986), Field Theory in Particle Physics, Amsterdam: North-Holland

Dicke, R. H. (1964), Experimental relativity, in DeWitt, C. & DeWitt, B. S. (eds.), Relativity, Groups and Topology, London: Blackie; New York: Gordon & Breach

d'Inverno, R. (1992), Introducing Einstein's Relativity, Oxford: Clarendon Press

Dirac, P. A. M. (2001), Lectures on Quantum Mechanics, New York: Dover Publications

Doughty, N. A. (1990), Lagrangian Interaction, Reading, Mass.: Addison-Wesley

Douglass, D. H. & Braginsky, V. B. (1979), Gravitational-radiation experiments, in Hawking, S. W. & Israel, W. (eds), General Relativity: An Einstein Centenary Survey, Cambridge: Cambridge University Press

Drever, R. W. P. (1960), A search for anisotropy of inertial mass using a free precession technique, Philosophical Magazine 6, 683–687

Eddington, A. S. (1924), Nature 113, 192

Eguchi, T., Gilkey, P. B. & Hanson, A. J. (1980), Gravitation, gauge theories and differential geometry, Physics Reports 66, 213–393

Einstein, A. (1905a), Zur Elektrodynamik bewegter Köper, Annalen der Physik 17, 891–921; translated as On the Electrodynamics of moving bodies, in Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H. (1952), The Principle of Relativity, 35–65, New York: Dover Publications; and in The Collected Papers of Albert Einstein (English transl.) 2, 140–171, Princeton: Princeton University Press (1989)

Einstein, A. (1905b), Ist die Trägheit eines Körpers von seinem Energie inhalt abhängig?, Annalen der Physik 18, 639–641; translated as Does the inertia of a body depend upon its energy content?, in Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H. (1952), The Principle of Relativity, 67–71, New York: Dover Publications; and in The Collected Papers of Albert Einstein (English transl.) 2, 172–174, Princeton: Princeton University Press (1989)

Einstein, A. (1911), Über die Einfluss der Schwerkraft auf die Ausbreitung des Lichtes, Annalen der Physik 35, 898–908; translated as On the influence of gravitation on the propagation of light, in Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H. (1952), The Principle of Relativity, 97–108, New York: Dover Publications; and in The Collected Papers of Albert Einstein (English transl.) 3, 379–387, Princeton: Princeton University Press (1993)

Einstein, A. (1916a), Hamiltonsches Prinzip und allgemeine Relativitätstheorie, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften; translated as Hamilton's Principle and the General Theory of Relativity, in Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H. (1952), The Principle of Relativity, 165–173, New York: Dover Publications; and in The Collected Papers of Albert Einstein (English transl.) 6, 240–246, Princeton: Princeton University Press (1997)

Einstein, A. (1916b), Näherungsweise Integration der Feldgleichungen der Gravitation, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften, Sitzung der physikalisch-mathematischen Klasse688; translated as Approximative integration of the field equations of gravitation, in The Collected Papers of Albert Einstein (English transl.) 6, 201–210, Princeton: Princeton University Press (1997)

Einstein, A. (1917), Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften, Sitzung der physikalisch-mathematischen Klasse; translated as Cosmological considerations in the General Theory of Relativity, in Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H. (1952), The Principle of Relativity, pp. 175–188 New York: Dover Publications; and in The Collected Papers of Albert Einstein (English transl.) 6, 421–432, Princeton: Princeton University Press (1997)

Einstein, A. (1918), Über Gravitationswellen, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften, Sitzung der physikalisch-mathematischen Klasse154

Einstein, A. & Rosen, N. (1933), The Particle Problem in the General Theory of Relativity, Physical Review 48, 73–77

Einstein, A. & Infeld, L. (1949), On the Motion of Particles in General Relativity Theory, Canadian Journal of Mathematics 1, 209–241

Einstein, A. & Straus, E. G. (1946), A Generalisation of the Relativistic Theory of Gravitation II, Annals of Mathematics 47, 731–741

Eisenhart, L. P. (1926), Riemannian Geometry, Princeton: Princeton University Press

Ellis, G. F. R. & Williams, R. (1988), Flat and Curved Space-times, Oxford: Clarendon Press

Everitt, C. W. F.et al. (2001), Gravity Probe B: countdown to launch, in Lämmerzahl, C., Everitt, C. W. F. & Hehl, F. W. (eds.), Gyros, Clocks, Interferometers…: Testing Relativistic Gravity in Space, Berlin: Springer-Verlag

Faber, R. L. (1983), Differential Geometry and Relativity Theory: an Introduction, New York: Dekker

Fairbank, J. D., Deaver, B. S. Jr., Everitt, C. W. F. & Michelson, P. F. (1988), Near Zero: New Frontiers of Physics, New York: Freeman

Ferreras, I., Melchiarri, A. & Silk, J. (2001), Setting new constraints on the age of the Universe, Monthly Notices of the Royal Astronomical Society 327, L47–L51

Feynman, R. P., Leighton, R. B. & Sands, M. (1963), The Feynman Lectures on Physics, vol. 1, Reading, Massachusetts: Addison-Wesley

Feynman, R. P., Leighton, R. B. & Sands, M. (1964), The Feynman Lectures on Physics, vol. 2, Reading, Massachusetts: Addison-Wesley

Feynman, R. P., Leighton, R. B. & Sands, M. (1965), The Feynman Lectures on Physics, vol. 3, Reading, Massachusetts: Addison-Wesley

Finkelstein, D. (1958), Past-future asymmetry of the gravitational field of a point particle, Physical Review 110, 965–967

Flanders, H. (1989), Differential Forms with Applications to the Physical Sciences, New York: Dover Publications

Frankel, T. (1979), Gravitational Curvature, San Francisco: Freeman

Frankel, T. (1997), The Geometry of Physics: An Introduction, Cambridge: Cambridge University Press

Freedman, W. L. (1997), Determination of the Hubble Constant, in Turok, N. (ed.), Critical Dialogues in Cosmology, Singapore: World Scientific

Friedmann, A. (1922), Über die Krümmung des Raumes, Zeitschrift für Physik 10, 377

Frolov, V. P. (1979), The Newman–Penrose method in the General Theory of Relativity, in Basov, N. G. (ed.), Problems in the General Theory of Relativity and Theory of Group Representations, New York: Consultants Bureau

Fulton, T., Rohrlich, F. & Witten, L. (1962), Conformal invariance in physics, Reviews of Modern Physics 34, 442–457

Gamow, G. (1970), My World Line, New York: Viking Press

Geroch, R. (1960), What is a singularity in general relativity?, Annals of Physics 48, 526–540

Göckeler, M. & Schücker, T. (1987), Differential Geometry, Gauge Theories, and Gravity, Cambridge: Cambridge University Press

Goldstein, H. (1950), Classical Mechanics, Reading, Massachusetts: Addison-Wesley

Gronwald, F., Gruber, E., Lichtenegger, H. I. M. & Puntigam, R. A., in Proceedings of the Alpbach Summer School 1997: Fundamental Physics in Space, organised by the Austrian and European Space Agency, ed. Wilson, A., http://arxiv:gr-qc / 9712054

Gross, F. (1993), Relativistic Quantum Mechanics and Field Theory, New York: Wiley

Gürsey, F. (1965), Group combining internal symmetries and spin, in DeWitt, C. & Jacob, M. (eds.), High Energy Physics, New York: Gordon and Breach

Guth, A. H. (1981), Inflationary Universe: A possible solution to the horizon and flatness problems, Physical Review D 23, 347–356

Guth, A. H. (2000), Inflation and eternal inflation, Physics Reports 333–334, 555–574

Hafele, J. C. & Keating, R. E. (1972), Around-the-world atomic clocks: predicted relativistic time gains, Science 177, 166–168

Hammond, R. (1994), Spin, torsion, forces, General Relativity and Gravitation 26, 247 – 263

Hammond, R. (1995), New fields in General Relativity, Contemporary Physics 36, 103–114

Harrison, E. (2000), Cosmology (2nd edn.), Cambridge: Cambridge University Press

Hartle, J. B. (1978), Bounds on the mass and moment of inertia of non-rotating neutron stars, Physics Reports 46, 201–247

Hartle, J. B. (2003), Gravity, San Francisco: Addison-Wesley

Hawking, S. W. (1971), Gravitational radiation from colliding black holes, Physical Review Letters 26, 1344

Hawking, S. W. (1975), Particle creation by black holes, Communications in Mathematical Physics, 43, 199–220; also in Isham, C. J., Penrose, R. & Sciama, D. W. (eds.), Quantum Gravity: An Oxford Symposium, Oxford: Clarendon Press

Hawking, S. W. & Ellis, G. F. R. (1973), The Large Scale Structure of Space-time, Cambridge: Cambridge University Press

Hawking, S. W. & Penrose, R. (1969), The singularities of gravitational collapse and cosmology, Proceedings of the Royal Society of London A 314, 529–548

Healey, R. (2007), Gauging What's Real, Oxford: Oxford University Press

Hehl, F. W. (1973), Spin and torsion in General Relativity I: Foundations, General Relativity and Gravitation 4, 333–349

Hehl, F. W. (1974), Spin and torsion in General Relativity II: Geometry and field equations, General Relativity and Gravitation 5, 491–516

Hehl, F. W. & der Heyde, P. (1973), Spin and the structure of space-time, Annales de l'Institut Henri Poincaré 19, 179–196

Hehl, F. W., der Heyde, P. & Kerlick, G. D. (1976), General relativity with spin and torsion: foundations and prospects, Reviews of Modern Physics 48, 393–416

Helgason, S. (1978), Differential Geometry and Symmetric Spaces (2nd edn), New York: Academic Press

Higgs, P. W. (1964a), Broken symmetries, massless particles and gauge fields, Physics Letters 12, 132–133

Higgs, P. W. (1964b), Broken symmetries and the masses of gauge bosons, Physical Review Letters 13, 508–509

Higgs, P. W. (1966), Spontaneous symmetry breakdown without massless bosons, Physical Review 145, 1156–1163

Hobson, M. P., Efstathiou, G. & Lasenby, A. N. (2006), General Relativity: An Introduction for Physicists, Cambridge: Cambridge University Press

Hoffmann, B. (1983), Relativity and Its Roots, New York: Scientific American Books – Freeman

Hogan, C. J. (1997), Big bang nucleosynthesis and the observed abundances of light elements, in Turok, N. (ed.), Critical Dialogues in Cosmology, Singapore: World Scientific

Huang, K. (1998), Quantum Field Theory: From Operators to Path Integrals, New York: Wiley

Hughes, V. W., Robinson, H. G. & Beltran-Lopez, V. (1960), Upper limit for the anisotropy of inertial mass from nuclear resonance experiments, Physical Review Letters 4, 342–344

Hulse, R. A. & Taylor, J. M. (1975), Discovery of a pulsar in a binary system, Astrophysical Journal Letters 195, L51–L53

Israel, W. (1986), Third law of black-hole dynamics: a formulation and proof, Physical Review Letters 57, 397–399

Israel, W. (1987), Dark stars: the evolution of an idea, in Hawking, S. W. & Israel, W. (eds.), Three Hundred Years of Gravitation, Cambridge: Cambridge University Press

Itzykson, C. & Zuber, J-B. (1980), Quantum Field Theory, New York: McGraw-Hill

Jackson, J. D. (1975), Classical Electrodynamics, New York: Wiley

Jammer, M. (2000), Concepts of Mass in Contemporary Physics and Philosophy, Princeton: Princeton University Press

Kaluza, T. (1921), Zum Unitätsproblem der Physik, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften, Sitzung der physikalisch-mathematischen Klasse966–972

Kawashima, N. (1994), The laser interferometric gravitational wave antenna: present status and future plan, Classical and Quantum Gravity 11, A83–A95

Kerr, R. P. (1963), Gravitational field of a spinning mass as an example of algebraically special metrics, Physical Review Letters 11, 237–238

Kibble, T. W. B. (1961), Lorentz invariance and the gravitational field, Journal of Mathematical Physics 2, 212–221

Kibble, T. W. B. & Berkshire, F. H. (1996), Classical Mechanics (4th edn), Harlow: Addison Wesley Longman

Kilmister, C. W. (1973), General Theory of Relativity, Oxford: Pergamon Press

Klein, O. (1926), Zeitschrift für Physik 37, 895; The atomicity of electricity as a quantum theory law, Nature 118, 516; Generalisations of Einstein's theory of gravitation considered from the point of view of quantum field theory, Helvetica Physica Acta Supplementum 4, 58–71

Kolb, E. W. & Turner, M. S. (1990), The Early Universe, Redwood City, California: Addison-Wesley

Kopczyński, W. & Trautman, A. (1992), Spacetime and Gravitation, Chichester, New York: Wiley; Warszawa: PWN Polish Scientific Publishers

Kruskal, M. D. (1960), Maximal extension of Schwarzschild metric, Physical Review 119, 1743–1745

Lämmerzahl, C. & Neugebauer, G. (2001), The Lense–Thirring effect: from the basic notions to the observed effects, in Lämmerzahl, C., Everitt, C. W. F. & Hehl, F. W. (eds.), Gyros, Clocks, Interferometers…: Testing Relativistic Gravity in Space, Berlin: Springer-Verlag

Lamoreaux, S. K.et al. (1986), New limits on spatial anisotropy from optically pumped 201Hg and 199Hg, Physical Review Letters 57, 3125–3128

Landau, L. D. & Lifshitz, E. M. (1971), The Classical Theory of Fields, Oxford: Pergamon Press

Lebach, D. E.et al. (1995), Measurements of the solar gravitational deflection of radio waves using very-long-baseline interferometry, Physical Review Letters 75, 1439–1442

Levi-Civita, T. (1927), The Absolute Differential Calculus, London: Blackie

Lichnérowicz, A. (1958), Géométrie des Groupes de Transformations, Paris: Dunod

Linde, A. (1990), Particle Physics and Inflationary Cosmology, Chur, Switzerland: Harwood Academic Publishers

Linde, A. (2000), Inflationary cosmology, Physics Reports 333–334, 575–591

Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H. (1952), The Principle of Relativity, New York: Dover Publications

Ludvigsen, M. (1999), General Relativity: A Geometric Approach, Cambridge: Cambridge University Press

Mach, E. (1919), The Science of Mechanics (4th edn), La Salle, Illinois: Open Court

Maggiore, M. (2005), A Modern Introduction to Quantum Field Theory, Oxford: Oxford University Press

Mandl, F. (1988), Statistical Physics (2nd edn), Chichester: Wiley

Martin, D. (1991), Manifold Theory: an Introduction for Mathematical Physicists, New York: Ellis Horwood

Mashhoon, B. (1993), On the gravitational analogue of Larmor's theorem, Physics Letters A 173, 347–354

Mashhoon, B. & Santos, N. O. (2000), Rotating cylindrical systems and gravitomagnetism, Annalen der Physik 9, 49–63

Mashhoon, B., Hehl, F. W. & Theiss, D. S. (1984), On the gravitational effects of rotating masses: the Thirring–Lense papers, General Relativity and Gravitation 16, 711–750

Mashhoon, B., Gronwald, F. & Lichtenegger, H. I. M. (2001), Gravitomagnetism and the Clock Effect, in Lämmerzahl, C., Everitt, C. W. F. & Hehl, F. W. (eds.), Gyros, Clocks, Interferometers…: Testing Relativistic Gravity in Space, Berlin: Springer-Verlag

McGlinn, W. D. (2003), Introduction to Relativity, Baltimore, Maryland: Johns Hopkins University Press

McVittie, G. C. (1965), General Relativity and Cosmology, Urbana, Illinois: University of Illinois Press

Mehra, J. (1973), Einstein, Hilbert and the Theory of Gravitation, in Mehra, J. (ed.), The Physicist's Conception of Nature, Dordrecht: Reidel

Misner, C. W. (1964), Differential geometry, in DeWitt, C. and DeWitt, B. S. (eds.), Relativity, Groups and Topology, London: Blackie; New York: Gordon & Breach

Misner, C. W., Thorne, K. S. & Wheeler, J. A. (1973), Gravitation, San Francisco: Freeman

Møller, C. (1972), The Theory of Relativity, Oxford: Clarendon Press

Moore, W. (1989), Schrödinger: Life and Thought, Cambridge: Cambridge University Press

Morin, D. (2007), Introduction to Classical Mechanics, Cambridge: Cambridge University Press

Mukhanov, V. (2005), Physical Foundations of Cosmology, Cambridge: Cambridge University Press

Nakahara, M. (1990), Geometry, Topology and Physics, Bristol and New York: Adam Hilger

Newman, E. T. & Janis, A. I. (1965), Note on the Kerr spinning-particle metric, Journal of Mathematical Physics 6, 915–917

Newman, E. T. & Penrose, R. (1962), An approach to gravitational radiation by a method of spin coefficients, Journal of Mathematical Physics 3, 566–578

Nieto, M. M., Hughes, R. J. & Goldman, T. (1989), Actually, Eötvös did publish his results in 1910, it's just that no-one knows about it… American Journal of Physics 57, 397–404

Nordstrøm, G. (1918), On the energy of the gravitational field in Einstein's theory, Proc. Kon. Ned. Akad. Wet. 20, 1238–1245

Novikov, I. D. & Frolov, V. P. (1989), Physics of Black Holes, Dordrecht: Kluwer Academic Publishers

Okun, L. B., Selivanov, K. G. & Telegdi, V. (2000), On the interpretation of the redshift in a static gravitational field, American Journal of Physics 68, 115–119

Oppenheimer, J. R. & Snyder, H. (1939), On continued gravitational contraction, Physical Review 56, 455–459

Oppenheimer, J. R. & Volkoff, G. M. (1939), On massive neutron cores, Physical Review 55, 374–381

Padmanabhan, T. (1989), Some fundamental aspects of semiclassical and quantum gravity, International Journal of Modern Physics A, 4, 4735–4818

Pais, A. (1982), Subtle is the Lord, New York: Oxford University Press

Panofsky, W. K. H. & Phillips, M. (1962), Classical Electricity and Magnetism (2nd edn), Reading, Massachusetts: Addison-Wesley

Papapetrou, A. (1974), Lectures on General Relativity, Dordrecht: Reidel Publishing Company

Pauli, W. (1958), Theory of Relativity, Oxford: Pergamon Press

Pauli, W. (1965), Continuous groups in quantum mechanics, Ergebnisse der Exakten Naturwissenschaften 37, 85–104

Peacock, J. A. (1999), Cosmological Physics, Cambridge: Cambridge University Press

Peebles, P. J. E. (1993), Principles of Physical Cosmology, Princeton: Princeton University Press

Penrose, R. (1964), Conformal treatment of infinity, in DeWitt, C. & DeWitt, B. S. (eds.), Relativity, Groups and TopologyLondon: Blackie; New York: Gordon & Breach

Penrose, R. (1965), Gravitational collapse and space-time singularities, Physical Review Letters 14, 57–59

Penrose, R. (1969), Gravitational collapse: the role of general relativity, Rivista del Nuovo Cimento 1, 252–276

Penrose, R. (1998), The question of cosmic censorship, in Wald, R. (ed.), Black Holes and Relativistic Stars, Chicago: Chicago University Press

Penrose, R. (2004), The Road to Reality, London: Jonathan Cape

Penzias, A. A. & Wilson, R. W. (1965), A measurement of excess antenna temperature at 4080 Mc/s, Astrophysical Journal 142, 419–421

Perkins, D. H. (2000), Introduction to High Energy Physics (4th edn), Cambridge: Cambridge University Press

Petrov, A. Z. (1969), Einstein Spaces, Oxford: Pergamon Press

Pirani, F. A. E. (1962a), Survey of gravitational radiation theory, in Recent Developments in General Relativity, Oxford: Pergamon Press; Warszawa: PWN Polish Scientific Publishers

Pirani, F. A. E. (1962b), Gravitational radiation, in Witten, L. (ed.), Gravitation: An Introduction to Current Research, New York: Wiley

Pirani, F. A. E. (1965), Introduction to gravitational radiation theory, in Trautman, A., Pirani, F. A. E. & Bondi, H.Lectures on General Relativity, (Brandeis Summer Institute 1964), Englewood Cliffs, New Jersey: Prentice-Hall

Plebański, J. & Krasiński, A. (2006), An Introduction to General Relativity and Cosmology, Cambridge: Cambridge University Press

Poisson, E. (2004), A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics, Cambridge: Cambridge University Press

Popper, D. M. (1954), Red shift in the spectrum of 40 Eridani B, Astrophysical Journal 120, 316–321

Post, E. J. (1967), Sagnac effect, Reviews of Modern Physics 39, 475

Pound, R. V. & Rebka, G. A. (1960), Apparent weight of photons, Physical Review Letters 4, 337–341

Pound, R. V. & Snider, J. L. (1964), Effect of gravity on nuclear resonances, Physical Review Letters 13, 539–540

Raffelt, G. G. (1996), Stars as Laboratories for Fundamental Physics: The Astrophysics of Neutrinos, Axions and Other Weakly Interacting Particles, Chicago: Chicago University Press

Raine, D. J. (1981), Mach's principle and space-time structure, Reports on Progress in Physics 44, 1151–1195

Rauch, H. & Werner, S. A. (2000), Neutron Interferometry: Lessons in Experimental Quantum Mechanics, Oxford: Clarendon Press

Reissner, H. (1916), Über die Eigengravitation des elecktrischen Feldes nach der Einsteinschen Theorie, Annalen der Physik 50, 106–120

Rindler, W. (1977), Essential Relativity (2nd edn), Berlin: Springer Verlag

Rindler, W. (1994), The Lense–Thirring effect exposed as anti-Machian, Physics Letters A 187, 236–238

Rindler, W. (1997), The case against space dragging, Physics Letters A 233, 25–29

Rindler, W. (2001), Relativity, Oxford: Oxford University Press

Robertson, H. P. (1935), Kinematics and world structure, Astrophysical Journal 82, 248–301

Robertson, H. P. (1936), Kinematics and world structure, Astrophysical Journal 83, 187–201

Robertson, H. P. (1938), The apparent luminosity of a receding nebula, Zeitschrift für Astrophysik 15, 69–81

Robertson, H. P. & Noonan, T. W. (1968), Relativity and Cosmology, Philadelphia: Saunders

Roll, P. G., Krotkov, R. & Dicke, R. H. (1964), The equivalence of inertial and passive gravitational mass, Annals of Physics 26, 442–517

Roos, M. (2003), Introduction to Cosmology (3rd edn), Chichester: Wiley

Rubakov, V. (2002), Classical Theory of Gauge Fields, Princeton: Princeton University Press

Ruggiero, M. L. & Tartaglia, A. (2002), Gravitomagnetic effects, http://arXiv:gr-qc/0207065

Ryan, M. P.., & Shepley, L. C. (1975), Homogeneous Relativistic Cosmologies, Princeton: Princeton University Press

Ryder, L. H. (1996), Quantum Field Theory (2nd edn), Cambridge: Cambridge University Press

Ryder, L. H. (1999), Relativistic spin operator for Dirac particles, General Relativity and Gravitation, 31 775–780

Sachs, R. K. (1964), Gravitational radiation, in DeWitt, C. & DeWitt, B. S. (eds), Relativity, Groups and TopologyLondon: Blackie; New York: Gordon & Breach

Sagnac, G. (1913a), L'éther lumineux démontré par l'effet du vent relatif d'éther dans un interférométre en rotation uniforme, Comptes Rendues de l'Académie des Sciences 157, 708–710

Sagnac, G. (1913b), Sur la preuve de la réalité d'éther lumineux par l'expérience de l'interférographe tournant, Comptes Rendues de l'Académie des Sciences 157, 1410–1413

Sakurai, J. J. (1994), Modern Quantum Mechanics (rev. edn), Reading, Massachusetts: Addison-Wesley

Salam, A. (1968), Weak and electromagnetic interactions, Elementary Particle Physics: Nobel Symposium No 8, (Svartholm, N., ed.), Stockholm: Almqvist Wiksell

Schiff, L. I. (1939), A question in general relativity, Proceedings of the National Academy of Sciences(USA) 25, 391–395

Schiff, L. I. (1960), Possible new experimental test of general relativity theory, Physical Review Letters 4, 215–217

Schmidt, B. G. (1971), A new definition of singular points in general relativity, General Relativity and Gravitation 1, 269–280

Schouten, J. A. (1954), Ricci-Calculus, Berlin: Springer

Schreiber, M. (1977), Differential Forms: A Heuristic Introduction, Berlin: Springer-Verlag

Schröder, U. E. (2002), Gravitation: Einführung in die Allgemeine Relativitätstheorie, Frankfurt am Main: Verlag Harri Deutsch

Schrödinger, E. (1985), Space-Time Structure, Cambridge: Cambridge University Press

Schutz, B. (1980), Geometrical Methods of Mathematical Physics, Cambridge: Cambridge University Press

Schwarzschild, K. (1916a), Über das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften, Physik-Math Klasse, 189–196

Schwarzschild, K. (1916b), Über das Gravitationsfeld einer Kugel aus inkompressibler Flüssigkeit nach der Einsteinschen Theorie, Sitzungsberichte der Königlich Preußische Akademie der Wissenschaften, Physik-Math Klasse, 424–434

Sciama, D. W. (1953), On the origin of inertia, Monthly Notices of the Royal Astronomical Society 113, 34–42

Sciama, D. W. (1962), On the analogy between charge and spin in general relativity, in Recent Developments in General Relativity, Oxford: Pergamon Press; Warszawa: PWN Polish Scientific Publishers

Sciama, D. W. (1969), The Physical Foundations of General Relativity, Garden City, New York: Doubleday

Sexl, R. U. & Urbantke, H. K. (1976), Relativität, Gruppen, Teilchen, Vienna: Springer-Verlag

Sexl, R. U. & Urbantke, H. K. (1983), Gravitation und Kosmologie, Mannheim: Bibliographisches Institut

Shankar, R. (1980), Principles of Quantum Mechanics, New York: Plenum Press

Shapiro, I. L. (2002), Physical aspects of the space-time torsion, Physics Reports 357, 113–213

Skillman, E. & Kennicutt, R. C. (1993), Spatially resolved optical and near-infrared spectroscopy of 1Zw18, Astrophysical Journal 411, 655–666

Smarr, L. (1973), Mass formula for Kerr black holes, Physical Review Letters 30, 71–73

Smolin, L. (2001), Three Roads to Quantum Gravity, London: Basic Books

Soper, D. E. (1976), Classical Field Theory, New York: McGraw-Hill

Speiser, D. (1964), Theory of compact Lie groups and some applications to elementary particle physics, in Gürsey, F. (ed.), Group Theoretical Concepts and Methods in Elementary Particle Physics, New York, London: Gordon & Breach

Spergel, D. N.et al. (2003), First year Wilkinson Microware Anisotropy Probe (WMAP) observations, Astrophysical Journal Supplement 148, 175

Spivak, M. (1970), A Comprehensive Introduction to Differential Geometry, vol. I, Brandeis University

Srednicki, M. (2007), Quantum Field Theory, Cambridge: Cambridge University Press

Stedman, G. E. (1997), Ring-laser tests of fundamental physics and geophysics, Reports on Progress in Physics 60, 615–688

Stephani, H. (1982), General Relativity, Cambridge: Cambridge University Press

Stephani, H. (2004), Relativity: An Introduction to Special and General Relativity (3rd edn), Cambridge: Cambridge University Press

Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C. & Herlt, E. (2003), Exact Solutions of Einstein's Field Equations (2nd edn), Cambridge: Cambridge University Press

Stoker, J. J. (1969), Differential Geometry, New York: Wiley

Straumann, N. (1991), General Relativity and Relativistic Astrophysics, Berlin: Springer-Verlag

Struik, D. J. (1961), Lectures on Classical Differential Geometry, Reading, Massachusetts: Addison-Wesley

Susskind, L. & Lindesay, J. (2005), An Introduction to Black Holes, Information and the String Theory Revolution: The Holographic Universe, New Jersey: World Scientific

Synge, J. L. (1964), Relativity: The General Theory, Amsterdam: North-Holland

Szekeres, G. (1960), On the singularities of a Riemannian manifold, Publ. Mat. Debrecen 7, 285–301

Tartaglia, A. (2002), General treatment of the gravitomagnetic clock effect, in Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity eds. Gurzadyan, V. G., Jantzen, R. T., Ruffini, R., Part B, p. 969, New Jersey: World Scientific

Taylor, J. C. (2001), Hidden Unity in Nature's Laws, Cambridge: Cambridge University Press

Thirring, H. & Lense, J. (1918), Über den Einfluss der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie, Physikalisches Zeitschrift 19 156–163

Thirring, W. (1972), Five dimensional theories and CP violation, Acta Physica Austriaca Supplementum 9, 256–271

Thomas, L. W. (1926), The motion of the spinning electron, Nature 117, 514

Thomas, L. W. (1927), The kinematics of an electron with an axis, Philosophical Magazine (7th series) 3, 1–22

't Hooft, G. (1997), In Search of the Ultimate Building Blocks, Cambridge: Cambridge University Press

Thorne, K. S. (1994), Black Holes and Time Warps, London: Picador

Thorne, K. S. (1987), Gravitational radiation, in Three Hundred Years of Gravitation, Hawking, S. W. & Israel, W. (eds.), Cambridge: Cambridge University Press

Tolman, R. C. (1939), Static solutions of Einstein's field equations for spheres of fluid, Physical Review 55, 364–373

Tonnelat, M-A. (1964), Les Vérifications Expérimentales de la Relativité Générale, Paris: Masson

Torretti, R. (1996), Relativity and Geometry, New York: Dover Publications

Trautman, A. (1973a), Spin and torsion may avert gravitational singularities, Nature Physical Science 242, 7

Trautman, A. (1973b), On the structure of the Einstein–Cartan equations, Symposia Mathematica 12, 139–162, Istituto Nazionale di Alta Matematica, Bologna

Tung, Wu-Ki (1985), Group Theory in Physics, Philadelphia, Singapore: World Scientific

Utiyama, R. (1956), Invariant interpretation of interaction, Physical Review 101, 1597–1607

Vessot, R. F. C. & Levine, M. W. (1979), A test of the equivalence principle using a space-borne clock, General Relativity and Gravitation 10, 181–204

Vessot, R. F. C.et al. (1980), Test of relativistic gravitation with a space-borne hydrogen maser, Physical Review Letters 45, 2081–2084

Wald, R. M. (1984), General Relativity, Chicago: Chicago University Press

Wald, R. M. (1994), Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, Chicago: Chicago University Press

Wald, R. M. (2001), The thermodynamics of black holes, Living Reviews in Relativity, www.livingreviews.org/Articles/Volume4/2001–6wald

Walker, A. G. (1936), On Milne's theory of world-structure, Proceedings of the London Mathematical Society 42, 90–127

Weinberg, S. (1967), A model of leptons, Physical Review Letters 19, 1264–1266

Weinberg, S. (1972), Gravitation and Cosmology, New York: Wiley

Weinberg, S. (1978), The First Three Minutes: A Modern View of the Origin of the Universe, Glasgow: Fontana/Collins

Weinberg, S. (1995), The Quantum Theory of Fields, vol. 1, Cambridge: Cambridge University Press

Weissberg, J. M. & Taylor, J. M. (1984), Observations of post-Newtonian timing effects in the binary pulsar PSR 1913+16, Physical Review Letters 52, 1348–50

Werner, S. A., Colella, R., Overhauser, A. W. & Eagen, C. F. (1975), Observation of the phase shift of a neutron due to precession in a magnetic field, Physical Review Letters 35, 1053–1055

Wess, J. (1960), The conformal invariance in quantum field theory, Il Nuovo Cimento 18, 1086–1107

Westenholtz, C. (1978), Differential Forms in Mathematical Physics, Amsterdam: North-Holland

Weyl, H. (1929), Elektron und Gravitation, Zeitschrift für Physik 56, 330–352

Weyl, H. (1950), A remark on the coupling of gravitation and electron, Physical Review 77, 699–701

Weyl, H. (1952), Space-Time-Matter, New York: Dover Publications

Wheeler, J. A. (1964), Geometrodynamics and the issue of the final state, in DeWitt, C., & DeWitt, B. S. (eds.), Relativity, Groups and Topology, London: Blackie; New York: Gordon & Breach

Wightman, A. S. (1960), L'invariance dans la mécanique quantique relativiste, in DeWitt, C. & Omnès, R. (eds.), Relations de Dispersion et Particules Elémentaires, Paris: Hermann; New York: Wiley

Wigner, E. P. (1939), On unitary representations of the inhomogeneous Lorentz group, Annals of Mathematics 40, 149–204

Wigner, E. P. (1964), Unitary representations of the inhomogeneous Lorentz group including reflections, in Gürsey, F. (ed.), Group Theoretical Concepts and Methods in Elementary Particle Physics, New York: Gordon and Breach

Wigner, E. P. (1967), Symmetries and Reflections: Scientific Essays, Cambridge, Massachusetts: MIT Press

Will, C. M. (1993), Theory and Experiment in Gravitational Physics, (rev. edn) Cambridge: Cambridge University Press

Will, C. M. (2001), The Confrontation between General Relativity and Experiment, gr-qc/0103036

Witten, L. (1962), A geometric theory of the electromagnetic and gravitational fields, in Witten, L. (ed.), Gravitation: An Introduction to Current Research, New York: Wiley

Yang, C. N. (1983), Selected Papers 1945–1980 With Commentary, San Francisco: Freeman

Yang, C. N. & Mills, R. L. (1954), Conservation of isotopic spin and isotopic gauge invariance, Physical Review 96, 191–195

Yourgrau, Y. & Mandelstam, S. (1968), Variational Principles in Dynamics and Quantum Theory, (3rd edn), London: Pitman

Zel'dovich, Ya. B. (1968), The cosmological constant and the theory of elementary particles, Soviet Physics Uspekhi 11, 381–393

Zel'dovich, Ya. B. & Novikov, I. D. (1996), Stars and Relativity, New York: Dover Publications

Introduction to General Relativity

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Contents

Frontmatter
pp i-viii

Contents
pp ix-xii

Preface
pp xiii-xiii

Notation, important formulae and physical constants
pp xiv-xvi

1 - Introduction
pp 1-17

2 - Special Relativity, non-inertial effects and electromagnetism
pp 18-46

3 - Differential geometry I: vectors, differential forms and absolute differentiation
pp 47-111

4 - Differential geometry II: geodesics and curvature
pp 112-136

5 - Einstein field equations, the Schwarzschild solution and experimental tests of General Relativity
pp 137-179

6 - Gravitomagnetic effects: gyroscopes and clocks
pp 180-226

7 - Gravitational collapse and black holes
pp 227-294

8 - Action principle, conservation laws and the Cauchy problem
pp 295-309

9 - Gravitational radiation
pp 310-340

10 - Cosmology
pp 341-391

11 - Gravitation and field theory
pp 392-424

References
pp 425-438

Index
pp 439-441

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