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Exact solutions in three-dimensional gravity / Alberto A. García-Díaz.

By: Material type: TextTextSeries: Cambridge monographs on mathematical physicssPublisher: Cambridge : Cambridge University Press, 2017Description: 1 online resource (xvi, 434 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781316556566 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 539.7/54 23
LOC classification:
  • QC178 .G365 2017
Online resources:
Contents:
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.
Summary: 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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Title from publisher's bibliographic system (viewed on 30 Aug 2017).

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.

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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