General Theory of Relativity - A Mathematical Approach

Suitable for postgraduate students and researchers in the field of astrophysics and mathematical physics, this book lays the mathematical foundation of tensor calculus. With basics of cosmology and astrophysics, it gives a background of geodesics, linearised gravity, Lie derivatives, rotating black holes and causal structure of space-time.

List 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.

About the author

Dr Farookh Rahaman is Professor of Mathematics at Jadavpur University, Kolkata. He has published numerous research papers on galactic dark matter, wormhole geometry, charged fluid model, topological defects in the early universe, gravastars, black hole physics, star modelling, and the cosmological model of the Universe. He has co-authored a book entitled The Special Theory of Relativity (2014).

Product details

• Authors: Farook Rahaman, Farook (Jadavpur University Rahaman, RAHAMAN FAROOK
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.04.2021
• EAN: 9781108837996
• ISBN: 978-1-108-83799-6
• No. of pages: 422
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Astrophysics, Relativity physics, Mathematical physics, SCIENCE / Space Science / Cosmology, Mathematical / Computational / Theoretical physics