INITIAL-BOUNDARY VALUE-PROBLEM FOR THE SPHERICALLY SYMMETRICAL EINSTEIN EQUATIONS FOR A PERFECT FLUID

Authors
KIND S EHLERS J
Citation
S. Kind et J. Ehlers, INITIAL-BOUNDARY VALUE-PROBLEM FOR THE SPHERICALLY SYMMETRICAL EINSTEIN EQUATIONS FOR A PERFECT FLUID, Classical and quantum gravity, 10(10), 1993, pp. 2123-2136
Citations number
11
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
10
Issue
10
Year of publication
1993
Pages
2123 - 2136
Database
ISI
SICI code
0264-9381(1993)10:10<2123:IVFTSS>2.0.ZU;2-0
Abstract
It is shown that for a given spherically symmetric distribution of a p erfect fluid on a spacelike hypersurface with boundary and a given, ti me-dependent boundary pressure. there exists a unique, local-in-time s olution of the Einstein equations. A Schwarzschild spacetime can be at tached 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 s peed of sound remain positive for vanishing pressure.