國立虎尾科技大學 |

Conformal methods in general relativity /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Conformal methods in general relativity // Juan A. Valiente Kroon.
Author:	Valiente Kroon, Juan A.,
Description:	1 online resource (xxx, 594 pages) :digital, PDF file(s). :
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 (ebook)

Conformal methods in general relativity /
Valiente Kroon, Juan A.,1972-

Conformal methods in general relativity /Juan A. Valiente Kroon. - 1 online resource (xxx, 594 pages) :digital, PDF file(s).

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 (ebook)Subjects--Topical Terms:

885074
General relativity (Physics)
--Mathematics.

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

Dewey Class. No.: 530.11

Conformal methods in general relativity /
LDR:02418nam a22002898i 4500 001 1124665
003 UkCbUP
005 20160711104909.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2016||||enk o ||1 0|eng|d
020 $a 9781139523950 (ebook)
020 $z 9781107033894 (hardback)
035 $a CR9781139523950
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QC173.6 $b .V35 2016
082 0 0 $a 530.11 $2 23
100 1 $a Valiente Kroon, Juan A., $d 1972- $e author. $3 1442349
245 1 0 $a Conformal methods in general relativity / $c Juan A. Valiente Kroon.
264 1 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a 1 online resource (xxx, 594 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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 885074
650 0 $a Geometry, Differential. $3 527830
650 0 $a Conformal mapping. $3 686781
650 0 $a Conformal geometry. $3 672664
650 0 $a Einstein field equations $x Numerical solutions. $3 676360
650 0 $a Space and time. $3 572429
776 0 8 $i Print version: $z 9781107033894
856 4 0 $u https://doi.org/10.1017/CBO9781139523950