Initial boundaryvalue 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 spacelike hypersurface with a timelike 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:

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:

 General Relativity and Quantum Cosmology
 EPrint:
 16 pages, 2 figures, to appear in Proceedings of the Royal Society A