Exact Solutions in Three-Dimensional Gravity (Cambridge Monographs on Mathematical Physics)
Cambridge University Press, 9/7/2017
EAN 9781107147898, ISBN10: 1107147891
Hardcover, 450 pages, 25.4 x 18 x 3 cm
Language: English
A self-contained text, systematically presenting the determination and classification of exact solutions in three-dimensional Einstein gravity. This book explores the theoretical framework and general physical and geometrical characteristics of each class of solutions, and includes information on the researchers responsible for their discovery. Beginning with the physical character of the solutions, these are identified and ordered on the basis of their geometrical invariant properties, symmetries, and algebraic classifications, or from the standpoint of their physical nature, for example electrodynamic fields, fluid, scalar field, or dilaton. Consequently, this text serves as a thorough catalogue on 2+1 exact solutions to the Einstein equations coupled to matter and fields. The solutions are also examined from different perspectives, enabling a conceptual bridge between exact solutions of three- and four-dimensional gravities, and therefore providing graduates and researchers with an invaluable resource on this important topic in gravitational physics. Including contributions by David Chow, Christopher N. Pope and Ergin Sezgin (chapters 16-19).
Preface
1. Introduction
2. Point particles
3. Dust solutions
4. AdS cyclic symmetric stationary solutions
5. Perfect fluid static stars
6. Static perfect fluid stars with Λ
7. Hydrodynamic equilibrium
8. Stationary perfect fluid with Λ
9. Friedmann–Robertson–Walker cosmologies
10. Dilaton-inflaton FRW cosmologies
11. Einstein–Maxwell solutions
12. Nonlinear electrodynamics black hole
13. Dilaton minimally coupled to gravity
14. Dilaton non-minimally coupled to gravity
15. Low energy 2+1 string gravity
16. Topologically massive gravity
17. Bianchi type spacetimes in TMG
18. Petrov type N wave metrics
19. Kundt spacetimes in TMG
20. Cotton tensor in Riemannian spacetimes
References
Index.