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Exact Space-Times in Einstein's General Relativity

Exact Space-Times in Einstein's General Relativity

Exact Space-Times in Einstein's General Relativity

Jerry B. Griffiths, Loughborough University
Jiří Podolský, Charles University, Prague
August 2012
Paperback
9781107406186

    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

    Reviews & endorsements

    "This is a resource monograph well balanced between a pedagogical scientific text and a review of current research on the subject. It should be standing undoubtedly, next to the "Exact solution book", on the bookshelf of both graduate students and academic researchers working on general relativity."
    Theophanes Grammenos, Mathematical Reviews

    "... tell[s] of the achievements of a generation of theorists whose only instruments were, for a good part of their lives, a pad of paper and a few pencils."
    Massimo Giovannini, CERN Courier

    See more reviews

    Product details

    August 2012
    Paperback
    9781107406186
    548 pages
    244 × 170 × 28 mm
    0.86kg
    Available

    Table of Contents

    • Preface
    • 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. PlebaÅ„ski-DemiaÅ„ski 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
    • References
    • Index.
    Resources for
    Type
    Link to Errata
      Authors
    • Jerry B. Griffiths , Loughborough University
    • Jiří Podolský , Charles University, Prague