The initial value problem for a class of general relativistic fluid bodies.

Details The initial value problem for a class of general relativistic fluid bodies. The initial value problem for a class of general relativistic fluid bodies.

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jmp....33.1047r&link_type=abstract

Journal of Mathematical Physics, Vol. 33, No. 3, p. 1047 - 1053

Mathematics

Mathematical Physics

21

Scientific paper

A body or collection of bodies made of perfect fluid can be described in general relativity by a solution of the Einstein-Euler system where the mass density has spatially compact support. It is shown that for certain equations of state there exists a wide class of solutions of this type corresponding to appropriate initial data given on a spacelike hypersurface. This class is not constrained by any symmetry requirements. The key element of the proof is to write the equations as a symmetric hyperbolic system which is regular both for nonvanishing density and in vacuum.

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