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

Kind, Saskia; Ehlers, Jürgen

doi:10.1088/0264-9381/10/10/020

Item

ITEM ACTIONSEXPORT

Add to Basket

Release HistoryDetailsSummary

Released

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;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

345156.pdf
(Publisher version), 467KB

Supplementary Material (public)

There is no public supplementary material available

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.