Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (Springer Monographs in Mathematics) - Tapa dura

Groah, Jeffrey; Smoller, Joel; Temple, Blake

 
9780387350738: Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (Springer Monographs in Mathematics)
Tapa dura
ISBN 10: 038735073X ISBN 13: 9780387350738
Editorial: Springer, 2006

Sinopsis

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.

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De la contraportada

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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Editorial
Springer
Año de publicación
2006
Idioma
Inglés
ISBN 10 
038735073X
ISBN 13 
9780387350738
Encuadernación
Tapa dura
Número de páginas
164
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9781441922465: Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (Springer Monographs in Mathematics)

Edición Destacada

ISBN 10:  1441922466 ISBN 13:  9781441922465
Editorial: Springer, 2010
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