Insights of anisotropic compact stellar structures in f(R, T) theory

Abstract This study formulates two distinct non-singular interior solutions that characterize anisotropic spherical structures in the context of f ( R , T ) theory. We formulate the modified Einstein field equations alongside the corresponding anisotropic factor associated with a static interior spacetime. The field equations are then addressed by implementing two unique constraints that facilitate to solve a system. By adopting specific forms of pressure anisotropy, we derive two different solutions. In both scenarios, we encounter differential equations whose solutions incorporate integration constants which are determined by equating the metric functions of an interior metric with those of the Schwarzschild exterior metric at the boundary of the sphere. The condition of zero radial pressure at the hypersurface also plays a crucial role in this regard. Subsequently, we explore specific conditions that, when met, yield physically feasible compact models. To graphically assess them, we take into account the estimated data of a star, namely SAX J 1808.4-3658 along with different values of the model parameter. Our findings indicate that both stellar solutions align well with the physically existence criteria under certain parametric values.