The General Theory of Relativity
A Mathematical Approach
£54.99
- Author: Farook Rahaman, Jadavpur University, Kolkata
- Date Published: September 2021
- availability: In stock
- format: Hardback
- isbn: 9781108837996
£
54.99
Hardback
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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.
Read more- Introduces the readers to the basics of cosmology and astrophysics
- Explains the causal structure of space-time
- Discusses Kerr black hole construction from static black hole solution through transformations
- Provides numerous worked out examples, hints and notes for easy understanding of the readers
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×Product details
- Date Published: September 2021
- format: Hardback
- isbn: 9781108837996
- length: 422 pages
- dimensions: 247 x 187 x 25 mm
- weight: 0.83kg
- availability: In stock
Table of Contents
Preface
Acknowledgement
1. Tensor calculus – a brief overview
2. Geodesics
3. Einstein field equations
4. Linearized gravity
5. Lie derivatives and Killing's equation
6. Spacetimes of spherically symmetric distribution of matter and black holes
7. Particle and photon orbits in the Schwarzschild spacetime
8. Causal structure of spacetime
9. Exact solutions of Einstein equations and their causal structures
10. Rotating Black holes
11. Elementary cosmology
12. Elementary astrophysics
Appendix A. Extrinsic curvature
Appendix B. Lagrangian formalism of general relativity
Appendix C. 3+1 decomposition
Bibliography
Index.
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