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

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Groah, Jeffrey (Autor), Smoller, Joel (Autor), Temple, Blake (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Springer Monographs in Mathematics,
Temas:
Mathematics.
Gravitation.
Applications of Mathematics.
Classical and Quantum Gravity.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Shock Wave Interactions in General Relativity  |h [electronic resource] :  |b A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes /  |c by Jeffrey Groah, Joel Smoller, Blake Temple. 
250 |a 1st ed. 2007. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2007. 
300 |a VIII, 152 p. 7 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Springer Monographs in Mathematics,  |x 2196-9922 
505 0 |a The Initial Value Problem in Special Relativity -- A Shock Wave Formulation of the Einstein Equations -- Existence and Consistency for the Initial Value Problem. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Gravitation. 
650 1 4 |a Applications of Mathematics. 
650 2 4 |a Classical and Quantum Gravity. 
700 1 |a Smoller, Joel.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Temple, Blake.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9781441922465 
776 0 8 |i Printed edition:  |z 9780387514598 
776 0 8 |i Printed edition:  |z 9780387350738 
830 0 |a Springer Monographs in Mathematics,  |x 2196-9922 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-0-387-44602-8  |z Texto Completo 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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