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

"This self-contained text, systematically presents 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."--

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:xvi, 434 pages : : illustrations ; : 26 cm.

Edition Identifiers

ISBN:9781107147898, 1107147891
oclc:ocn985447103
LC Classification:QC178
Dewey Decimal:539.7/54

Introduction -- Point particle solutions -- Dust solutions -- A shortcut to (2 + 1) cyclic symmetric stationary solutions -- Perfect fluid static stars; cosmological solutions -- Static perfect fluid stars with [lambda] -- Hydrodynamic equilibrium -- Stationary circularly symmetric perfect fluid with [lambda] -- Friedmann-Robertson-Walker cosmologies -- Dilaton-inflaton Friedmann-Robertson-Walker cosmologies -- Einstein-Maxwell solutions -- Black holes coupled to nonlinear electrodynamics -- Dilaton field minimally coupled to (2 + 1) gravity -- Scalar field non-minimally coupled to (2 + 1) gravity -- Low energy (2 + 1) string gravity -- Topologically massive gravity -- Bianchi type (BT) spacetimes in TMG; Petrov type D -- 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