6533b81ffe1ef96bd1277b85

RESEARCH PRODUCT

Method to obtain shear-free two-fluid solutions of Einstein's equations.

Joan Josep FerrandoJuan Antonio MoralesMiquel Portilla

subject

PhysicsGravitacióGeodesicPerfect fluidConservative vector fieldRelativitat (Física)symbols.namesakeGravitational fieldEinstein field equationssymbolsVector fieldEinsteinRicci curvatureMathematical physics

description

We use the Einstein equations, stated as an initial-value problem (3+1 formalism), to present a method for obtaining a class of solutions which may be interpreted as the gravitational field produced by a mixture of two perfect fluids. The four-velocity of one of the components is assumed to be a shear-free, irrotational, and geodesic vector field. The solutions are given up to a set of a hyperbolic quasilinear system.

10.1103/physrevd.40.1027https://pubmed.ncbi.nlm.nih.gov/10011909