Abstract
In the present investigation of a spherically symmetric electrically neutral anisotropic static fluid, we present a new solution of the Einstein’s general relativistic field equations. The solution shows positive finite central pressures, central density and central red shift. The causality condition is obeyed at the centre. The anisotropy parameter is zero at the center and monotonically increasing toward the surface. The adiabatic index is also increasing towards the surface. All the other physical quantities such as matter-energy density, radial pressure, tangential pressure, velocity of sound and red shift are monotonically decreasing towards the surface. Further by assuming the surface density , we have constructed a model of massive neutron star with mass 2.95 with radius 18 km with all degree of suitability.
Highlights
A compact stellar object is formed by an equilibrium state which is reached after condensation and contraction of a massive gas cloud
We present a new general solution of Einstein Field Equations and its detailed study, in order to construct a realistic model of compact star
We have given a new solution for spherically symmetric anisotropic fluid ball
Summary
A compact stellar object is formed by an equilibrium state which is reached after condensation and contraction of a massive gas cloud. The study of interior of massive fluid ball can be made by well behaved solution of Einstein’s field equation. The first ever two exact solution of Einstein field equation for a compact object in static equilibrium was obtained by Schwarzschild [1] in 1916. Ivanov [15] [16], Pant [17], Maurya and Gupta [18], Pant et al [19] [20] studied the existing well behaved solutions of Einstein field equations in isotropic coordinates. We present a new general solution of Einstein Field Equations and its detailed study, in order to construct a realistic model of compact star.
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