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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.

SUBMITTER: Brito I

PROVIDER: S-EPMC5582177 | biostudies-literature | 2017 Aug

REPOSITORIES: biostudies-literature

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

Brito Irene I Mena Filipe C FC

Proceedings. Mathematical, physical, and engineering sciences 20170809 2204

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. ...[more]

PMID: 28878556

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