The Enistein Equations & the Large Scale Behavior of Graviational Fields: 50 Year of the Cauchy Problem in General Relativity

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ISBN: 9783764371302
Author/Editor: T. Chrusciel

Publisher: Springer

Year: 2004

2 in stock (can be backordered)

SKU: ABD-SPR-318 Category:

Description

The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.

Product Properties

Year of Publication

2004

Table of Contents

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.- Index?

Author

T. Chrusciel

ISBN/ISSN

9783764371302

Binding

Hardback

Edition

1

Publisher

Springer

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