The General Theory of Relativity
eBook - PDF

The General Theory of Relativity

A Mathematical Approach

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The General Theory of Relativity

A Mathematical Approach

About this book

The book aims to expound the general theory of relativity with a mathematical point of view. Catering to the needs of postgraduate students and researchers in the field of astrophysics and mathematical physics, it offers the readers a comprehensive understanding of the advanced topics of the subject matter. It specifically discusses the mathematical foundation of tensor calculus, gives a background of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution of matter and black holes, and particle and photon orbits in spacetime. Apart from the formulation of general relativity, Lie derivatives and its applications, and causality of spacetime are also discussed in detail. Certain preliminary concepts of extrinsic curvature, Lagrangian formalism of general theory of relativity and 3 + 1 decomposition of space-time are covered and are provided in the book as appendices.

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Yes, you can access The General Theory of Relativity by Farook Rahaman in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Cosmology. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2021
Print ISBN
9781108837996
eBook ISBN
9781009032377
Topic
Physical Sciences
Subtopic
Cosmology

Table of contents

  1. Cover
  2. The General Theory of Relativity
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Figures
  8. Tables
  9. Preface
  10. Acknowledgments
  11. CHAPTER 1: Tensor Calculus — A Brief Overview
  12. CHAPTER 2: Geodesics
  13. CHAPTER 3: Einstein Field Equations
  14. CHAPTER 4: Linearized Gravity
  15. CHAPTER 5: Lie Derivatives and Killing’s Equation
  16. CHAPTER 6: Spacetimes of Spherically Symmetric Distribution of Matter and Black Holes
  17. CHAPTER 7: Particle and Photon Orbits in the Schwarzschild Spacetime
  18. CHAPTER 8: Causal Structure of Spacetime
  19. CHAPTER 9: Exact Solutions of Einstein Equations and Their Causal Structures
  20. CHAPTER 10: Rotating Black Holes
  21. CHAPTER 11: Elementary Cosmology
  22. CHAPTER 12: Elementary Astrophysics
  23. APPENDIX A: Extrinsic Curvature or Second Fundamental Form
  24. APPENDIX B: Lagrangian Formulation of General Relativity
  25. APPENDIX C: 3+1 Decomposition
  26. Bibliography
  27. Index