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Exact Space-Times in Einstein's General Relativity

$82.00 USD

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: November 2009
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511629884

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About the Authors
  • Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

    • Describes the basic solutions of Einstein's equations emphasising their geometric and physical meaning
    • Introduces concepts with simplest cases, building space-time analyses from basics
    • Makes explicit the relationships between different families of solutions to Einstein's equations
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    Reviews & endorsements

    Review of the hardback: 'The relatively familiar material … covers somewhat more than a third of the book … the rest of the book's contents … is less familiar … I feel that [the authors] have … made a good choice … the exact solutions they discuss are surely important … for a person who wants to work in the field …As a reference on a wide selection of exact solutions, with geometrical and physical detail not found previously in one place, this book is a very useful companion.' General Relativity and Gravitation

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    Product details

    • Date Published: November 2009
    • format: Adobe eBook Reader
    • isbn: 9780511629884
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    1. Introduction
    2. Basic tools and concepts
    3. Minkowski space-time
    4. de Sitter space-time
    5. Anti-de Sitter space-time
    6. Friedmann-Lemaître-Robertson-Walker space-times
    7. Electrovacuum and related background space-times
    8. Schwarzchild space-time
    9. Space-times related to Schwarzchild
    10. Static axially symmetric space-times
    11. Rotating black holes
    12. Taub-NUT space-time
    13. Stationary, axially symmetric space-times
    14. Accelerating black holes
    15. Further solutions for uniformly accelerating particles
    16. Plebański-Demiański solutions
    17. Plane and pp-waves
    18. Kundt solutions
    19. Robinson-Trautman solutions
    20. Impulsive waves
    21. Colliding plane waves
    22. A final miscellany
    Appendix A. 2-spaces of constant curvature
    Appendix B. 3-spaces of constant curvature

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    Exact Space-Times in Einstein's General Relativity

    Jerry B. Griffiths, Jiří Podolský

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  • Authors

    Jerry B. Griffiths, Loughborough University

    Jiří Podolský, Charles University, Prague

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