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Conformal methods in general relativity

Valiente Kroon, Juan A.

Conformal methods in general relativity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Conformal methods in general relativityJuan A. Valiente Kroon.
Author:	Valiente Kroon, Juan A.
Published:	Cambridge :Cambridge University Press,2016.
Description:	xxx, 594 p. :digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 04 Jul 2016).
Subject:	General relativity (Physics)Mathematics.
Online resource:	https://doi.org/10.1017/CBO9781139523950
ISBN:	9781139523950$q(electronic bk.)

Conformal methods in general relativity
Valiente Kroon, Juan A.

Conformal methods in general relativity[electronic resource] /Juan A. Valiente Kroon. - Cambridge :Cambridge University Press,2016. - xxx, 594 p. :digital ;24 cm.

Title from publisher's bibliographic system (viewed on 04 Jul 2016).

Differential geometry -- Spacetime spinors -- Space spinors -- Conformal extensions of exact solutions -- Asymptotic simplicity -- The conformal Einstein field equations -- Matter models -- Asymptotics -- The conformal constraint equations -- Methods of the theory of hyperbolic differential equations -- Hyperbolic reductions -- Causality and the Cauchy problem in general relativity -- De Sitter-like spacetimes -- Minkowski-like spacetimes -- Anti-de Sitter-like spacetimes -- Characteristic problems for the conformal field equations -- Static solutions -- Spatial infinity -- Perspectives.

This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this the perfect reference companion on the topic.

ISBN: 9781139523950$q(electronic bk.)Subjects--Topical Terms:

267058
General relativity (Physics)
--Mathematics.

LC Class. No.: QC173.6 / .V35 2016

Dewey Class. No.: 530.11

Conformal methods in general relativity
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245 1 0 $a Conformal methods in general relativity $h [electronic resource] / $c Juan A. Valiente Kroon.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xxx, 594 p. : $b digital ; $c 24 cm.
500 $a Title from publisher's bibliographic system (viewed on 04 Jul 2016).
505 0 $a Differential geometry -- Spacetime spinors -- Space spinors -- Conformal extensions of exact solutions -- Asymptotic simplicity -- The conformal Einstein field equations -- Matter models -- Asymptotics -- The conformal constraint equations -- Methods of the theory of hyperbolic differential equations -- Hyperbolic reductions -- Causality and the Cauchy problem in general relativity -- De Sitter-like spacetimes -- Minkowski-like spacetimes -- Anti-de Sitter-like spacetimes -- Characteristic problems for the conformal field equations -- Static solutions -- Spatial infinity -- Perspectives.
520 $a This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this the perfect reference companion on the topic.
650 0 $a General relativity (Physics) $x Mathematics. $3 267058
650 0 $a Geometry, Differential. $3 182610
650 0 $a Conformal mapping. $3 243458
650 0 $a Conformal geometry. $3 468280
650 0 $a Einstein field equations $x Numerical solutions. $3 209288
650 0 $a Space and time. $3 176397
856 4 0 $u https://doi.org/10.1017/CBO9781139523950