Fluid with heat flux in a conformally flat space-time

Abstract

This paper presents a solution of Einstein's equation in a conformally flat and spherically symmetric space-time with perfect fluid and heat flux as sources when vorticity and shear vanish. With a certain choice of parameters the solution may represent an earlier stage of the Robertson-Walker model. Though acceleration remains, a singularity cannot be avoided in some cases. The horizon of the model cannot be definitely known, but for a particular case it can be assigned. Other behaviors of the solution are similar to those of the Robertson-Walker metric.