A Well Behaved Exact Solution for Spherically Symmetric Perfect Fluid Ball

Print ISSN: 2319-1023

Abstract

We here present a spherically symmetric exact solution of the general relativistic field equations by using Tewari [1] solution as a seed solution. The solution is having positive finite central pressure and positive finite central density. The ratio of pressure and density is less than one and casualty condition is obeyed at the centre. Further, the outmarch of pressure, density and pressure-density ratio, and the ratio of sound speed to light is monotonically decreasing. The central red shift and surface red shift are positive and monotonically decreasing. Further by assuming the suitable surface density, we have constructed a compact star model with all degree of suitability.

Keywords and Phrases

Exact solution, Einstein’s field equations, Perfect fluid ball, Compact star.

A.M.S. subject classification

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