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Shock Wave Interactions in General Relativity

Name: Shock Wave Interactions in General Relativity
Brand: Springer-Verlag New York Inc.
SKU: 05256921
Price: 51.09 EUR
Availability: InStock
Author: Jeffrey Groah
ISBN: 9781441922465

A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes

Jeffrey Groah

Joel Smoller

Blake Temple

Language

English

Book Paperback

Libristo code: 05256921

Publishers Springer-Verlag New York Inc., February 2010

This monograph presents a self contained mathematical treatment of the initial value problem for sho... Full description

Libristo code: 05256921

125 b

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This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The author is a well regarded expert in this area. 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 scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics.