Abstract

The objective of this paper is to present a new class of exact solution of the Einstein field equations for a spherically symmetric shear free isotropic fluid collapsing under its own gravity and undergoing radial heat flow due to Tewari [1]. The interior metric fulfilled all the relevant physical and thermodynamic conditions that matched with Vaidya exterior metric over the boundary. At the beginning, the interior solutions represent a static configuration of perfect fluid which later on gradually starts evolving into radiation collapse. Consequently we have obtained the expressions of various physical and thermal parameters and found that they are physically reasonable for a set of model parameters and there are a number of such parameters for which the solution is well behaved. The final fate of our model is formation of black hole.

Keywords and Phrases

Exact solutions, Gravitational collapse, Radiating star, Black hole, Naked singularity.

A.M.S. subject classification

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