Imprints of electric charge on the stability of compact stellar models: A comparison between GR and f(R,T) gravity

Abstract

In the framework of $f(R,T)$ theory, this paper develops two unique non-singular interior models that describe anisotropic spherical structures in the presence of an electromagnetic field. The modified Einstein–Maxwell field equations are formulated in conjunction with a static charged interior geometry. After that, the field equations are solved by applying two distinct forms of the radial metric potential that make the system easier to solve. Using particular types of anisotropic pressure, we obtain two different models. We come across differential equations in both cases, and their solutions contain constants of integration which are found through matching conditions of an inner and the outer Reissner–Nordström line elements at the spherical boundary. In this context, the assumption of zero radial pressure at the interface is also utilized. Next, we investigate certain conditions that, when satisfied, result in physically existing compact models. We consider the observed data of a star, LMC X-4, together with several parametric values in order to graphically evaluate the developed solutions. Our results show that, for chosen values of charge andmodel parameter, both models fit the physically existing conditions in this modified theory.