General Theory of Relativity
A Mathematical Approach
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. Les mer
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Vår pris:
928,-
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Leveringstid:
Sendes innen 7 virkedager
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.
- FAKTA
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Utgitt:
2021
Forlag: Cambridge University Press
Innbinding: Innbundet
Språk: Engelsk
ISBN: 9781108837996
Format: 25 x 19 cm
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- VURDERING
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Les vurderinger
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.
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).