Vaidya Tikekar Type Anisotropic Fluid Star in f(R, T) Theory

Abstract

The present research paper aims to solve In light of the modified theory of gravity, an analysis of Einstein’s field equation, specifically the f(R, T) theory of gravity, defining the function f(R, T) = R+2χT, which is defined in the in (3+1) dimensional space time of the universe. To assist the formulation of this compact star model the Vaidya-Tikekar Anstaz with an equation of state has been used, namely the MIT EoS. The Lagrangian matter to solve the equations is taken to be = Lm = -(pr+2pt)3 for the problem. We find that the model we proposed matches clearly with the Reisner-Nordstorm metric at the boundary and using these boundary conditions the constants have been calculated. The model has been subjected to different analysis to asses the viability, stability analysis of the model like - the physical viability, adiabatic index, equilibrium conditions for the different values pf χ. The model’s stability is supported by the graphical and numerical analyses, which also show that the model is viable.