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  Initial-boundary value problem for the spherically symmetric Einstein equations for a perfect fluid

Kind, S., & Ehlers, J. (1993). Initial-boundary value problem for the spherically symmetric Einstein equations for a perfect fluid. Classical and Quantum Gravity, 10(10), 2123-2136. doi:10.1088/0264-9381/10/10/020.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5C2A-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5C2B-E
Genre: Journal Article

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345156.pdf (Publisher version), 467KB
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 Creators:
Kind, Saskia1, Author
Ehlers, Jürgen1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: It is shown that for a given spherically symmetric distribution of a perfect fluid on a spacelike hypersurface with a boundary and a given, time-dependent boundary pressure, there exists a unique, local-in-time solution of the Einstein equations. A Schwarzchild spacetime can be attached to the fluid body if and only if the boundary pressure vanishes. We assume a smooth equation of state for which the density and the speed of sound remain positive for vanishing pressure.

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 Dates: 1993-10
 Publication Status: Published in print
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 Identifiers: eDoc: 345156
DOI: 10.1088/0264-9381/10/10/020
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Title: Classical and Quantum Gravity
  Alternative Title : Class. Quant. Grav.
Source Genre: Journal
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Pages: - Volume / Issue: 10 (10) Sequence Number: - Start / End Page: 2123 - 2136 Identifier: ISSN: 0264-9381