Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
arXiv:1707.08593 · doi:10.1098/rspa.2017.0113
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.
16 pages, 2 figures, to appear in Proceedings of the Royal Society A