Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
Abstract
We prove that, for a given spherically symmetric fluid distribution with tangential pressure on an initial space-like hypersurface with a time-like boundary, there exists a unique, local in time solution to the Einstein equations in a neighbourhood of the boundary. As an application, we consider a particular elastic fluid interior matched to a vacuum exterior.
- Publication:
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Proceedings of the Royal Society of London Series A
- Pub Date:
- August 2017
- DOI:
- 10.1098/rspa.2017.0113
- arXiv:
- arXiv:1707.08593
- Bibcode:
- 2017RSPSA.47370113B
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 16 pages, 2 figures, to appear in Proceedings of the Royal Society A