Exact Relativistic Modeling of Einstein’s Field Equations for Isotropic Radiating Stars

Abstract

We here investigate an exact relativistic model for an isotropic radiating star and the
matching conditions required for the description of physically meaningful fluid. The
interior matter fluid is shear-free spherically symmetric and undergoing radial heat flow
collapsing under the influence of its own gravity. The model seems to be physically
sound as it corresponds to the non-negative expressions for fluid density, isotropic
pressure and radiation flux density throughout the star. The apparent luminosity as
observed by the distant observer at rest at infinity is zero in remote past at the instance
when the collapse begins and at the stage when collapsing configuration reaches the
horizon of the black hole.