Spherically Symmetric Cosmological Solutions of Einstein’s Equations

Two sets of solution of the Einstein’s equations of general theory of relativity which is spherically-symmetric and nonstatic homogeneous isotropic universe for perfect fluid are obtained. The first solution is the Einstein de-Sitter type containing a scale factor ( √6πкGt + a)^4/3 and an arbitrary function f (R) of radial space coordinates. The second solution is for stiff equation of state p = ρc², which also has a scale factor 3 √8πaG∫^t₀ξ(t)dt^2/3 and an arbitrary function h(R) of radial space coordinates.