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TitleInitial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
Author(s)Brito, Irene
Mena, Filipe C.
KeywordsEinstein equations
General Relativity
Initial boundary value problems
Self-gravitating systems
Spacetime matching
Issue date2017
PublisherRoyal Society
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Abstract(s)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.
Publisher versionThe original publication is available at
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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