The Einstein Equations and the Large Scale Behavior of Gravitational Fields

50 Years Of The Cauchy Problem In General Relativity

• Author(s): Piotr T. Chruściel, Helmut Felix Friedrich,
• Publisher: Springer Science & Business Media
• Pages: 481
• ISBN_10: 3764371307
  ISBN_13: 9783764371302
  
• Language: en
• Categories: Science / Space Science / Cosmology , Science / Physics / Gravity , Science / Physics / Mathematical & Computational , Science / Physics / Relativity ,

Description:... 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..