Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
General Relativity and Quantum Cosmology
2017-10-25 v1
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.
Keywords
Cite
@article{arxiv.1707.08593,
title = {Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure},
author = {Irene Brito and Filipe C. Mena},
journal= {arXiv preprint arXiv:1707.08593},
year = {2017}
}
Comments
16 pages, 2 figures, to appear in Proceedings of the Royal Society A