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Journal Article

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

MPS-Authors

Kind,  Saskia
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Ehlers,  Jürgen
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5C2A-0
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.