Analysis and more General Solutions of Einstein Field Equation in f(R, T) Gravity

Abstract

In this paper the major work is done on the optimal solution of f(R, T) gravity 00-component field equation. Explicit derivation of 00 and 11-components has been done. Optimal existence of solution of 00-component has been formulated using fixed point theory. The equivalence of 00-component of f(R, T) gravity field equation with wave equation having the source term has been explicitly proved. Also the computational more general solutions of 00-component of f(R, T) gravity field equation is explained in the various surface plot. Also the contour as well as 2D-pairs (f, R) and (f, T) have been examined and analyzed.