Review of Einstein field equation solution rotational and non-rotational black holes

Abstract

The origin of gravitational theory of relativity includes the discussion of Sir. Isaac Newton and Einstein’s theory of relativity. A brief derivation is introduced about the spherically symmetric solution of Einstein’s field equation, the Schwarzschild solution, and the axisymmetric solution, the Kerr solution. We have also presented the generalizations of both of the solutions followed by inter-related different types of coordinate systems like: Eddington-Finkelstein coordinate system and Kruskal coordinate system. The notion of black hole formation, rotational and non-rotational black hole structure is also shown with mathematical calculations and few graphical figures computation.