Interplay of anisotropy and electric charge in modified matter-geometry coupled gravity model in the context of stellar structures

Abstract

This paper presents two unique, singularity-free interior models within the framework of $f(R,L_m,T)=R+2c_1{L}_m+c_{2}T$ gravity model, representing charged sphere coupled with the anisotropic fluid. For this, the field equations are formulated for a considered model of this extended theory and we observe this system of highly non-linear equations to be under-determined. By assuming specific forms of anisotropy and radial metric potential, we derive a couple of exact solutions for these governing equations. The smooth matching of the obtained interior solutions with the Reissner-Nordström exterior metric at the boundary of the compact star enables us to determine the values of integration constants associated with the developed solutions. In this regard, we also use the condition of vanishing radial pressure at the spherical interface. Afterwards, we thoroughly analyze physical properties of the resulting models using the observed data of a particular pulsar, namely 4U 1820-30. Different values of minimally coupled modified model parameters are also chosen to show the effects of correction terms. The findings of this study reveal that, for the chosen charge and model parametric values, both our solutions are well-aligned with the criteria whose fulfillment is necessary to ensure the physical existence of stellar structures.