Exact solutions in three-dimensional gravity

by García-Díaz, Alberto A.

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Title Statements

Full title :Exact solutions in three-dimensional gravity / Alberto A. García-Díaz (Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico (CINVESTAV).

Summary

"Due to the big amount of existing nowadays exact solutions in 2+1 Einstein gravity the purpose of the present book is to bring to the audience of experts and young researchers a complete and concise list of exacts solutions with emphasis on their physical and geometrical properties in (2+1) gravity from its beginning in 1963 to present. Emphasis is addressed to solutions to the Einstein equations in the presence of matter and fields, for instance, point particle solutions, perfect fluids, cosmological spacetimes, dilatons, inflatons, stringy solutions. The second part of this book deals with solutions to vacuum topologically massive gravity with a cosmological constant; there exist two big families of spacetimes: the inhomogeneous Bianchi class of solutions, the Kundt spacetimes and the Cotton type N wave fields"--

Edition Statements

Publication Date:©2017

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, United Kingdom
Language:eng
Publication Date:©2017

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9781316556566, 1316556565
oclc:on1003514944
LC Classification:QC178
Dewey Decimal:539.7/54

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.

Subjects

Einstein field equations Équations du champ d'Einstein Gravitation -- Mathematics Gravitation -- Mathématiques Gravité quantique -- Mathématiques Quantum gravity -- Mathematics Space and time