Exact Solutions In Three-dimensional Gravity
A self-contained and unique text systematically presenting the determination and classification of exact solutions in three-dimensional Einstein gravity.
|Titel:||Exact Solutions In Three-dimensional Gravity|
|auteur:||García-Díaz, Alberto A.|
|Uitgever:||Cambridge University Press|
|Plaats van publicatie:||03|
|Afmetingen:||247 x 174 x 30|
Alberto A. Garc�a-D�az is Emeritus Professor at the Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico (CINVESTAV-IPN). His research throughout his career has focused on algebraic classification in four dimensional gravity, nonlinear electrodynamics and dilaton fields.
'2+1 dimensions is the lowest dimension in which Einstein gravity works, and it exhibits some interesting features, such as space-time being flat where there is no matter. The topic has been studied for about 50 years, and there are, remarkably, large numbers of exact solutions that have been found. This book presents a comprehensive account of them, including a section on topologically massive gravity. It is obviously a labour of love, which runs to over 400 pages, and which will be of interest to relativists, providing links between the solutions and those for the more familiar 3+1 space- time.' Alan Heavens, The Observatory
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.
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