Shock Wave Interactions in General Relativity A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Groah, Jeffrey (Editor), Temple, Blake (Editor), Smoller, Joel (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Gravitation.; Applications of Mathematics.; Classical and Quantum Gravitation, Relativity Theory.

This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical schem...

Table of Contents:

• The Initial Value Problem in Special Relativity
• A Shock Wave Formulation of the Einstein Equations
• Existence and Consistency for the Initial Value Problem.