Charged anisotropic solutions by decoupling approach in energy–momentum squared gravity

Abstract

The objective of this paper is to analyze the effect of charge on decoupled anisotropic solutions in the context of energy–momentum squared gravity. We consider spherical configuration with two sources (seed and additional) and apply a geometric deformation only on the radial metric component to split the field equations into two sets, representing the isotropic and anisotropic sources. A well-known Tolman V solution is used to solve the isotropic system whereas three different constraints are used to determine the unknowns appearing in the second array of equations. The radius and mass of PSR J1614-2230 star is utilized to analyze physical acceptability of all the solutions. We check the stability through causality condition, adiabatic index and Herrera’s cracking approach. We also analyze the behavior of mass, compactness and redshift parameters. It is found that all the resulting solutions show more stable behavior with the decrease in charge.