Exploring singularity-free stellar models in f(R,T) theory: A pulsar SMC X-4 admitting electromagnetic field

In the context of [Formula: see text] gravity theory, this study formulates two new non-singular models that effectively describe anisotropic spherical structures influenced by an electromagnetic field. The modified Einstein–Maxwell equations are derived for a static charged interior spacetime. Subsequently, these equations are addressed using two distinct forms of radial metric potentials, simplifying the extraction of their solution. By employing specific types of pressure anisotropy, we derive two unique models that enhance our understanding of such stellar configurations. The differential equations are appeared in both cases whose solutions involve integration constants. We determine these constants by matching an inner and the outer Reissner–Nordström spacetimes at the spherical junction. In light of this, we also use the condition of vanishing radial pressure. Afterwards, we investigate certain conditions that, when satisfied, result in physically existing compact models. The estimated data of a star, SMC X-4 along with several parametric values are considered to perform a graphical analysis of the developed solutions. It is concluded that, for chosen parametric values, both models meet all the requirements and thus exist physically under the considered modified gravity model.

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