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An Introduction to Special and General Relativity

3rd Edition

$129.00 (P)

  • Author: Hans Stephani, Friedrich-Schiller-Universität, Jena, Germany
  • Date Published: March 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521010696

$ 129.00 (P)

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About the Authors
  • Thoroughly revised and updated, this self-contained textbook provides a pedagogical introduction to relativity. It covers the most important features of special as well as general relativity, and considers more difficult topics, such as charged pole-dipole particles, Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools are provided, most derivations are complete, and exercises are included where appropriate. The bibliography lists the original papers and also directs the reader to useful monographs and review papers. Previous Edition Hb(1990): 0-521-37066-3 Previous Edition Pb(1990): 0-521-37941-5

    • Thoroughly revised and updated edition, now including a large section on special relativity
    • Clear, self-contained and concise textbook, suitable for undergraduate and beginning graduate courses
    • Author is well known for his important research in the field
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    Reviews & endorsements

    "...not only an excellent textbook for an introductory course in relativity, but [it] is also a quite good standard reference book for researchers in the field. Overall I would rate it among the top introductory books to the General Theory of Relativity." SIAM Review

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    Product details

    • Edition: 3rd Edition
    • Date Published: March 2004
    • format: Paperback
    • isbn: 9780521010696
    • length: 420 pages
    • dimensions: 228 x 152 x 24 mm
    • weight: 0.752kg
    • contains: 3 tables 102 exercises
    • availability: Available
  • Table of Contents

    Part I. Special Relativity:
    1. Introduction: inertial systems and Galilei invariance of classical mechanics
    2. Light propagation in moving coordinate systems and Lorentz transformations
    3. Our world as a Minkowski space
    4. Mechanics of special relativity
    5. Optics of plane waves
    6. Four-dimensional vectors and tensors
    7. Electrodynamics in vacuo
    8. Transformation properties of electromagnetic fields: examples
    9. Null vectors and the algebraic properties of electromagnetic field tensors
    10. Charged point particles and their field
    11. Pole-dipole particles and their field
    12. Electrodynamics in media
    13. Perfect fluids and other physical theories
    Part II. Riemannian Geometry:
    14. Introduction: the force-free motion of particles in Newtonian mechanics
    15. Why Riemannian geometry?
    16. Riemannian space
    17. Tensor algebra
    18. The covariant derivative and parallel transport
    19. The curvature tensor
    20. Differential operators, integrals and integral laws
    21. Fundamental laws of physics in Riemannian spaces
    Part III. Foundations of Einstein's Theory of Gravitation:
    22. The fundamental equations of Einstein's theory of gravitation
    23. The Schwarzschild solution
    24. Experiments to verify the Schwarzschild metric
    25. Gravitational lenses
    26. The interior Schwarzschild solution
    Part IV. Linearized Theory of Gravitation, Far Fields and Gravitational Waves:
    27. The linearized Einstein theory of gravity
    28. Far fields due to arbitrary matter distributions and balance equations for momentum and angular momentum
    29. Gravitational waves
    30. The Cauchy problem for the Einstein field equations
    Part V. Invariant Characterization of Exact Solutions:
    31. Preferred vector fields and their properties
    32. The Petrov classification
    33. Killing vectors and groups of motion
    34. A survey of some selected classes of exact solutions
    Part VI. Gravitational Collapse and Black Holes:
    35. The Schwarzschild singularity
    36. Gravitational collapse - the possible life history of a spherically symmetric star
    37. Rotating black holes
    38. Black holes are not black - relativity theory and quantum theory
    39. The conformal structure of infinity
    Part VII. Cosmology:
    40. Robertson-Walker metrics and their properties
    41. The dynamics of Robertson-Walker metrics and the Friedmann universes
    42. Our Universe as a Friedmann model
    43. General cosmological models

  • Author

    Hans Stephani, Friedrich-Schiller-Universität, Jena, Germany

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