Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
Presenting author: Irene Brito and Filipe Mena
We prove that, for a given spherically symmetric fluid distribution with tangential pressure on an initial spacelike hypersurface with a timelike interface, and satisfying some compatibility conditions at the interface, there exists a unique, local in time solution to the Einstein equations. As an application, we consider a particular elastic fluid interior matched to a vacuum exterior.