An Introduction to Relativistic Gravitation

Remi Hakim; Andrew King

doi:10.1017/CBO9781139174213

This is an introductory textbook on applications of general relativity to astrophysics and cosmology. The aim is to provide graduate students with a toolkit for understanding astronomical phenomena that involve velocities close to that of light or intense gravitational fields. The approach taken is first to give the reader a thorough grounding in special relativity, with space-time the central concept, following which general relativity presents few conceptual difficulties. Examples of relativistic gravitation in action are drawn from the astrophysical domain. The book can be read on two levels: first as an introductory fast-track course, and then as a detailed course reinforced by problems which illuminate technical examples. The book has extensive links to the literature of relativistic astrophysics and cosmology.

‘This textbook offers a thorough application of relativity theory to astrophysics and modern cosmology … the reviewer found Hakim’s descriptions both useful and clear and a well-ordered progression of the material has been presented … Hakim’s text must rank amongst the best of them.’

A. D. Andrews Source: Irish Astronomical Journal

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An Introduction to Relativistic Gravitation

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Contents

Frontmatter
pp i-vi

Contents
pp vii-x

Preface
pp xi-xiv

1 - NEWTONIAN GRAVITATION
pp 1-40

2 - MINKOWSKI SPACE–TIME
pp 41-67

3 - THE RELATIVISTIC FORM OF PHYSICAL LAWS
pp 68-94

4 - GRAVITATION AND SPECIAL RELATIVITY
pp 95-102

5 - ELECTROMAGNETISM AND RELATIVISTIC HYDRODYNAMICS
pp 103-115

6 - WHAT IS CURVED SPACE?
pp 116-138

7 - THE PRINCIPLE OF EQUIVALENCE
pp 139-186

8 - EINSTEIN'S RELATIVISTIC GRAVITATION (GENERAL RELATIVITY)
pp 187-226

Appendix A - Tensors
pp 227-231

Appendix B - Exterior Differential Forms
pp 232-244

Appendix C - Variational Form of the Field Equations
pp 245-248

Appendix D - The Concept of a Manifold
pp 249-254

References
pp 255-269

Physical Constants
pp 270-274

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