SPHERICALLY SYMMETRIC ANISOTROPIC PERFECT FLUID BALL IN GENERAL RELATIVITY

In this investigation of a spherically symmetric shear free anisotropic fluid we present a new model of the general relativistic field equations by using Tewari and Charan [1] solution as a seed solution. The solution is having positive finite central pressures and central density. The ratio of pressures and density is less than one and casualty condition is obeyed at the centre. Further, the outmarch of pressures, 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.