Exact solutions in three-dimensional 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 th...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2017
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Schriftenreihe: | Cambridge monographs on mathematical physics
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Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | 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, and on vacuum solutions of topologically massive gravity with a cosmological constant. 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 Point particles -- Dust solutions -- AdS cyclic symmetric stationary solutions -- Perfect fluid static stars -- Static perfect fluid stars with [lamda] -- Hydrodynamic equilibrium -- Stationary perfect fluid with [lamda] -- Friedmann--Robertson--Walker cosmologies -- Dilaton-inflaton FRW cosmologies -- Einstein--Maxwell solutions -- Nonlinear electrodynamics black hole -- Dilaton minimally coupled to gravity -- Dilaton non-minimally coupled to gravity -- Low energy 2+1 string gravity -- Topologically massive gravity -- Bianchi type spacetimes in TMG -- Petrov type N wave metrics -- Kundt spacetimes in TMG -- Cotton tensor in Riemannian spacetimes |
Beschreibung: | Title from publisher's bibliographic system (viewed on 30 Aug 2017) |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781316556566 |
DOI: | 10.1017/9781316556566 |
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520 | 3 | |a 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, and on vacuum solutions of topologically massive gravity with a cosmological constant. 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 | |
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spelling | García-Díaz, Alberto A. 1942- Verfasser (DE-588)1142409104 aut Exact solutions in three-dimensional gravity Alberto A. García-Díaz Cambridge Cambridge University Press 2017 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on mathematical physics Title from publisher's bibliographic system (viewed on 30 Aug 2017) 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, and on vacuum solutions of topologically massive gravity with a cosmological constant. 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 Point particles -- Dust solutions -- AdS cyclic symmetric stationary solutions -- Perfect fluid static stars -- Static perfect fluid stars with [lamda] -- Hydrodynamic equilibrium -- Stationary perfect fluid with [lamda] -- Friedmann--Robertson--Walker cosmologies -- Dilaton-inflaton FRW cosmologies -- Einstein--Maxwell solutions -- Nonlinear electrodynamics black hole -- Dilaton minimally coupled to gravity -- Dilaton non-minimally coupled to gravity -- Low energy 2+1 string gravity -- Topologically massive gravity -- Bianchi type spacetimes in TMG -- Petrov type N wave metrics -- Kundt spacetimes in TMG -- Cotton tensor in Riemannian spacetimes Space and time Einstein field equations Gravitation / Mathematics Quantum gravity / Mathematics Gravitation ; Mathematics Quantum gravity ; Mathematics Erscheint auch als Druck-Ausgabe 978-1-316-55656-6 https://doi.org/10.1017/9781316556566 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | García-Díaz, Alberto A. 1942- Exact solutions in three-dimensional gravity |
title | Exact solutions in three-dimensional gravity |
title_auth | Exact solutions in three-dimensional gravity |
title_exact_search | Exact solutions in three-dimensional gravity |
title_exact_search_txtP | Exact solutions in three-dimensional gravity |
title_full | Exact solutions in three-dimensional gravity Alberto A. García-Díaz |
title_fullStr | Exact solutions in three-dimensional gravity Alberto A. García-Díaz |
title_full_unstemmed | Exact solutions in three-dimensional gravity Alberto A. García-Díaz |
title_short | Exact solutions in three-dimensional gravity |
title_sort | exact solutions in three dimensional gravity |
url | https://doi.org/10.1017/9781316556566 |
work_keys_str_mv | AT garciadiazalbertoa exactsolutionsinthreedimensionalgravity |