Solution of Einstein’s Field Equations for the Static Fluid Sphere

Abstract

In this paper we deals about some exact static spherical solution of Einstein’s field equations with Λ = 0 (cosmological constant) and p = ρ (taking suitable choice of g11 and g44). We have eψ = km5 4 and e−χ = l, which help to investigate the value of eχ. Here some previously known solutions are contained as a particular case. The explicit expressions for rotation, shear scalar of expansion and fluid velocity have also investigated. We get some previously known solution for distinct values of n. Here Λ = 0, this implies that Einstein element would degenerate into a line element of special relativity for flat space time. It also helpful to investigates solution for the perfect fluid core.