Deformed Finch-Skea Space-time using Gravitational Decoupling through Extended Geometric Deformation Approach

Abstract

In this thesis, we have presented an anisotropic version of Alder Finch Skea Solution under F(R, T ) gravity theory by using Gravitational Decoupling via Extended Geometric Deformation (EGD) approach. This approach solves the given set of field equations into two steps, first for Einstein Field Equations and the second one is for quasi-Einstein Equations, then both solutions are con- densed to obtain the final solution for the system. The matching conditions have also been discussed in detail for both outer and inner geometries, and then these conditions have also used to find the constants appeared in the solution. Then, mimic constraint for pressure has also been used to develop the anisotropic so- lution of the system. Then, we discussed three models of compact stars, entitled as SMC X-4, Vela X-1 and PSRJ-1416 2230, to check the veracity and original- ity of the solution. We discussed the physical behavior of these stars includ- ing, anisotropic factor, density, pressure, adiabatic index, energy conditions and stability analysis, and also presented our results graphically, which proves the authenticity of our model. We have discussed, in this paper, how to evaluate an anisotropic solution, from isotropic solution, whose physical properties are also same as the isotropic parent.