The Einstein Equations and the Large Scale Behavior of Gravitational Fields

50 Years of the Cauchy Problem in General Relativity

Piotr T. Chrusciel, Helmut Friedrich

481 pages, parution le 07/10/2004

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Résumé

This book presents state-of-the-art results on the analysis of the Einstein field equations and the large scale structure of their solutions.

Key features:

combines in a unique way introductory chapters and surveys written by distinguished researchers
discusses applications of the Einstein equations to geometrical studies and the physical interpretation of their solutions
points out open problems concerning analytical and numerical aspects of the Einstein equations
provides background material on techniques in PDE theory, differential geometry, and causal theory

Graduate students, analysts and numerical relativists will profit from this access to recent research on the analysis and structure of Einstein's equations and the behavior of their solutions. The enclosed DVD includes additional material such as videos and slides from the original lectures on which some contributions to this volume are based.

Sommaire

Preface
The Constraint Equations
The Penrose Inequality
The Global Existence Problem in General Relativity
Smoothness at Null Infinity and the Structure of Initial Data
Status Quo and Open Problems in the Numerical Construction of Spacetimes
The Einstein-Vlasov System
Future Complete U(1) Symmetric Einsteinian Spacetimes
Future Complete Vacuum Spacetimes
The Cauchy Problem on Spacetimes That Are Not Globally Hyperbolic
Cheeger-Gromov Theory
Null Geometry and the Einstein Equations
Group Actions on Lorentz Spaces
Gauge, Diffeomorphisms, Initial-Value Formulation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Piotr T. Chrusciel, Helmut Friedrich
Parution	07/10/2004
Nb. de pages	481
Format	16,5 x 24
Couverture	Relié
Poids	1026g
Intérieur	Noir et Blanc
EAN13	9783764371302