Horizon free eternally collapsing anisotropic radiating star

Abstract

We present a class of exact solutions of relativistic field equations for a shear-free spherically symmetric anisotropic fluid undergoing radial heat flow. The interior metric fulfilled all the relevant physical and thermodynamic conditions and matched with Vaidya exterior metric over the boundary. Initially mass and radius are infinite and finally they both contract to a point as time approaches zero without forming an event horizon at the boundary. Since, for this class of models, the collapse begins at infinite past and continues in the finite present, such models may be considered as examples of “Eternal Collapse”. For this given model, the luminosity is time independent so it radiates with uniform rate throughout the collapse process and the rate of collapse increases in comparison to isotropic case.