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

Author: 


ISBN-13: 

9780387350738


ISBN: 

038735073X


Pub Date: 
Publisher:  Springer
Summary: 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.

Groah, Jeffrey is the author of Shock Wave Interactions in General Relativity A Locally Intertial Glimm Scheme for Spherically Symmetric Spacetimes, published 2006 under ISBN 9780387350738 and 038735073X. Two hundred twenty four Shock Wave Interactions in General Relativity A Locally Intertial Glimm Scheme for Spherically Symmetric Spacetimes textbooks are available for sale on ValoreBooks.com, fifty one used from the cheapest price of $86.80, or buy new starting at $48.93.
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Shock Wave Interactions in General Relativity A Locally Intertial Glimm Scheme for Spherically Symmetric Spacetimes

ISBN-13: 9780387350738


ISBN: 038735073X


Pub Date:
Publisher: Springer
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