Abstract

In this article, a completely new model for the spherically symmetric anisotropic compact stars presenting class 1 solutions in the background of f(R,T) gravity, where the functional f(R,T) consider as f(R,T)=R+χT, is presented. All the physical parameters, which are obtained by introducing a compatible grr metric function, are regular and physically well-behaved throughout the interior of star i.e. the reported solutions are physically acceptable to present anisotropic fluid spheres. The solutions satisfy all the energy conditions and causality condition i.e. the representing matter configurations are physical in nature. The satisfaction of TOV-equation and Abreu et al. condition, Γr(r)>4/3, Harrison–Zeldovich–Novikov static condition confirm that the matter configurations represented by our solutions are in equilibrium state and stable, respectively. In our solutions, the coupling parameter χ plays the crucial role, the energy density, pressure and mass are larger for lesser values of χ. The M−R graph generated from our solutions indicates the maximum mass under the observational range. The present model ensures that the f(R,T) gravity is enough suitable to study massive stellar objects in the ground of it. Moreover, all the results of our solutions come back in the Einstein gravity for χ=0.

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