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Shock Wave Interactions in General Relativity

A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes

Language EnglishEnglish
Book Hardback
Book Shock Wave Interactions in General Relativity Jeffrey Groah
Libristo code: 05247801
Publishers Springer-Verlag New York Inc., November 2006
This monograph presents a self contained mathematical treatment of the initial value problem for sho... Full description
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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. 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.

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About the book

Full name Shock Wave Interactions in General Relativity
Language English
Binding Book - Hardback
Date of issue 2006
Number of pages 152
EAN 9780387350738
ISBN 038735073X
Libristo code 05247801
Weight 910
Dimensions 155 x 235 x 13
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