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Research Article

RELATIVISTIC MODELING OF RADIATING FLUID BALL WITH OCCURRENCE OF HORIZON

K
Kali Charan Department of Mathematics, Kumaun University, Govt. PG College Dwarahat- 263653, Almora, India.
D
D.P.Singh Department of Mathematics, Pacific University, Rajsthan, India.
N
Neetu Singh Department of Mathematics, Pacific University, Rajsthan, India.
Volume 12, Issue 2 Pages 137-146 October 30, 2016 508 downloads
Article overview

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 solutionsGravitational collapseRadiating starBlack holeNaked singularity.
Reference information

How to Cite

Kali Charan, D.P.Singh, Neetu Singh (2016). RELATIVISTIC MODELING OF RADIATING FLUID BALL WITH OCCURRENCE OF HORIZON. South East Asian Journal of Mathematics and Mathematical Sciences, 12(2), 137-146.
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