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Exact Solutions in Three-Dimensional Gravity - Alberto A. García-Díaz

Exact Solutions in Three-Dimensional Gravity

Buch | Hardcover
450 Seiten
2017
Cambridge University Press (Verlag)
978-1-107-14789-8 (ISBN)
CHF 265,35 inkl. MwSt
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A self-contained and unique text systematically presenting the determination and classification of exact solutions in three-dimensional Einstein gravity.
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).

Alberto A. García-Díaz 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.

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.

Erscheinungsdatum
Reihe/Serie Cambridge Monographs on Mathematical Physics
Zusatzinfo 37 Tables, black and white
Verlagsort Cambridge
Sprache englisch
Maße 180 x 254 mm
Gewicht 970 g
Themenwelt Naturwissenschaften Physik / Astronomie Angewandte Physik
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Relativitätstheorie
ISBN-10 1-107-14789-1 / 1107147891
ISBN-13 978-1-107-14789-8 / 9781107147898
Zustand Neuware
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