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Conformal methods in general relativity

Valiente Kroon, Juan A.

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Conformal methods in general relativity

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Conformal methods in general relativity/ Juan A. Valiente Kroon.
作者:	Valiente Kroon, Juan A.
出版者:	Cambridge :Cambridge University Press, : 2016.,
面頁冊數:	xxx, 594 p. :digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 04 Jul 2016).
內容註:	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.
標題:	General relativity (Physics) - Mathematics. -
電子資源:	https://doi.org/10.1017/CBO9781139523950
ISBN:	9781139523950

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: 9781139523950Subjects--Topical Terms:

906707
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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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.
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650 0 $a Geometry, Differential. $3 523835
650 0 $a Conformal mapping. $3 559817
650 0 $a Conformal geometry. $3 708569
650 0 $a Einstein field equations $x Numerical solutions. $3 894068
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