Influence of Charge on Extended Decoupled Anisotropic Solutions in $f(\mathcal{R},\mathcal{T},\mathcal{R}_{\lambda\xi}\mathcal{T}^{\lambda\xi})$ Gravity

TL;DR

This study explores how electromagnetic charge affects anisotropic solutions in extended $f( ext{R}, ext{T}, ext{R}_{\xi\lambda} ext{T}^{\xi\lambda})$ gravity, revealing decreased stability at higher charges near the boundary.

Contribution

It introduces a method to analyze charge effects on anisotropic solutions in extended gravity using gravitational decoupling and specific metric transformations.

Findings

Charge reduces stability of solutions at higher values near the boundary.

Decoupling parameter influences physical variables and anisotropy.

Solutions exhibit less stability with increased charge.

Abstract

In this paper, we consider static self-gravitating spherical spacetime and determine various anisotropic solutions through the extended gravitational decoupling technique in $f(\mathcal{R},\mathcal{T},\mathcal{R}_{\lambda\xi}\mathcal{T}^{\lambda\xi})$ gravity to analyze the influence of electromagnetic field on them. We construct two different sets of modified field equations by employing the transformations on both radial as well as temporal metric potentials. The first set symbolizes the isotropic fluid distribution, thus we take Krori-Barua solution to deal with it. The indefinite second sector comprises the influence of anisotropy. In this regard, we apply some constraints to determine unknowns. Further, we observe the impact of charge as well as decoupling parameter $\zeta$ on the developed physical variables (such as energy density,~radial and tangential pressures) and anisotropy. We also analyze other physical features of the compact geometry like mass, compactness and redshift along with the energy conditions. Eventually, we find that our both solutions show less stable behavior for higher values of charge near the boundary in this gravity.