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02977nam a22004935i 4500 |
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978-0-387-44602-8 |
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DE-He213 |
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20151204174650.0 |
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cr nn 008mamaa |
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100301s2007 xxu| s |||| 0|eng d |
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|a 9780387446028
|9 978-0-387-44602-8
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|a 10.1007/978-0-387-44602-8
|2 doi
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|d GrThAP
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|a T57-57.97
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|a PBW
|2 bicssc
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|a MAT003000
|2 bisacsh
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|a 519
|2 23
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|a Shock Wave Interactions in General Relativity
|h [electronic resource] :
|b A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes /
|c edited by Jeffrey Groah, Blake Temple, Joel Smoller.
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| 264 |
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|a New York, NY :
|b Springer New York,
|c 2007.
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| 300 |
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|a VIII, 152 p. 7 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
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|a The Initial Value Problem in Special Relativity -- A Shock Wave Formulation of the Einstein Equations -- Existence and Consistency for the Initial Value Problem.
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| 520 |
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|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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Gravitation.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Applications of Mathematics.
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| 650 |
2 |
4 |
|a Classical and Quantum Gravitation, Relativity Theory.
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| 700 |
1 |
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|a Groah, Jeffrey.
|e editor.
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| 700 |
1 |
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|a Temple, Blake.
|e editor.
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| 700 |
1 |
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|a Smoller, Joel.
|e editor.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9780387350738
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| 830 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/978-0-387-44602-8
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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