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The General Theory of Relativity

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The General Theory of Relativity

The General Theory of Relativity

A Mathematical Approach
Farook Rahaman, Jadavpur University, Kolkata
September 2021
Hardback
9781108837996
£54.99
GBP
Hardback
USD
eBook
    Description

    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.

    • 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

    Product details

    July 2021
    Adobe eBook Reader
    9781009032377
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    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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    About the authors
      Author
    • Farook Rahaman , Jadavpur University, Kolkata

      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).

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