Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures

Abstract

This paper focuses on the analysis of static spherically symmetric anisotropic solutions in the presence of electromagnetic field through the gravitational decoupling approach in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ gravity. We use geometric deformation only on radial metric function and obtain two sets of the field equations. The first set deals with isotropic fluid while the second set yields the influence of anisotropic source. We consider the modified Krori-Barua charged isotropic solution for spherical self-gravitating star to deal with the isotropic system. The second set of the field equations is solved by taking two different constraints. We then investigate physical acceptability of the obtained solutions through graphical analysis of the effective physical variables and energy conditions. We also analyze the effects of charge on different parameters, (i.e., mass, compactness and redshift) for the resulting solutions. It is found that our both solutions are viable as well as stable for specific values of the decoupling parameter $\phi$ and charge. We conclude that a self-gravitating star shows more stable behavior in this gravity.

30 pages, 8 figures

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