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.
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.
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).
Inhaltsangabe
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.
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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