Conformal methods in general relativity

Conformal methods in general relativity

by Valiente Kroon, Juan A.

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A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity.

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Title Statements

  • Full title :Conformal methods in general relativity / Juan A. Valiente Kroon (Queen Mary, University of London).

Summary

A systematic and self-contained account, which adopts a geometric approach to study the solutions of Einstein's theory of gravity.

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Edition Statements

  • Publication Date:ß2016

Publication Statements

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781139523950, 1139523953, 9781316690321, 1316690326, 9781107033894, 1107033896, 9781316690079, 1316690075
  • oclc:on1034906733
  • LC Classification:QC173.6eb
  • Dewey Decimal:530.11

Table of Contents

Cover ; Half-title ; Series information ; Title page ; Copyright information ; Dedication ; Table of contents ; Preface; Acknowledgements; List of Symbols; 1 Introduction; 1.1 On the Einstein field equations; 1.2 Exact solutions; 1.2.1 Construction of exact solutions; 1.2.2 The limitations of exact solutions; 1.3 The Cauchy problem in general relativity; 1.3.1 Hyperbolic reductions; 1.3.2 Initial data and the constraint equations; 1.3.3 The well-posedness of the Cauchy problem in general relativity; 1.3.4 Geometric uniqueness and the maximal globally hyperbolic development

1.3.5 Construction of maximal developments and global existence of solutions1.4 Conformal geometry and general relativity; 1.4.1 Conformal transformations and conformal geometry; 1.4.2 Conformal geometry; 1.4.3 Conformal invariance of equations of physics; 1.4.4 Asymptotics of the gravitational field and asymptotic simplicity; 1.4.5 The conformal Einstein field equations; 1.4.6 Gauge conditions and conformal geodesics; 1.4.7 Spinors; 1.5 Existence of asymptotically simple spacetimes; 1.5.1 Characteristic initial value problems; 1.5.2 De Sitter-like spacetimes

1.5.3 Anti-de Sitter-like spacetimes1.5.4 Minkowski…

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Subjects

Academic theses Applications conformes Conformal geometry Conformal mapping Einstein field equations -- Numerical s… Équations du champ d'Einstein -- Soluti… General relativity (Physics) -- Mathema… Géométrie conforme Géométrie différentielle Geometry, Differential Relativité générale (Physique) -- Mathé… Space and time Thèses et écrits académiques

Writers

Valiente Kroon, Juan A.

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