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arXiv · 1707.08593

Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure

Irene Brito·Filipe C. Mena
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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.

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Irene Brito, Filipe C. Mena. 2017-07-26. Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure. https://doi.org/10.1098/rspa.2017.0113

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