The Einstein Equations and the Large Scale Behavior of Gravitational Fields: 50 Years of the Cauchy Problem in General Relativity [With DVD]

By: Peter Murray

Book Overview

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, the Unpolarized Case.- Future Complete Vacuum Spacetimes.- The Cauchy Problem on Spacetimes That Are Not Globally Hyperbolic.- Cheeger-Gromov Theory and Applications to General Relativity.- Null Geometry and the Einstein Equations.- Group Actions on Lorentz Spaces, Mathematical Aspects: A Survey.- Gauge, Diffeomorphisms, Initial-Value Formulation, Etc..

• Format: Hardcover
• Language: English
• ISBN: 3764371307
• ISBN13: 9783764371302
• Release Date: November 2003
• Publisher: Birkhauser Basel
• Length: 500 Pages
• Weight: 2.30 lbs.
• Dimensions: 1.6" x 6.7" x 9.2"