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Exact Space-Times in Einstein's General Relativity

Series: Cambridge Monographs on Mathematical Physics

By: Jerry B Griffiths and J Podolsky

544 pages, 80 b/w illus

Cambridge University Press

Hardback | Oct 2009 | #183133 | ISBN-13: 9780521889278
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NHBS Price: £85.00 $111/€96 approx

About this book

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.

New 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.

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


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-Lemaitre-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. Pleba ski-Demia 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.

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Jerry Griffiths is a Professor at Loughborough University. Jiri Podolsky is an Associate Professor at Charles University in Prague.

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