# Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity

## TL;DR

This study explores charged anisotropic solutions in f(R) gravity using gravitational decoupling, demonstrating that charge enhances the stability of self-gravitating systems within this modified gravity framework.

## Contribution

It introduces a method to generate charged anisotropic solutions in f(R) gravity using minimal geometric deformation, extending known isotropic solutions with stability analysis.

## Key findings

- Charged solutions satisfy physical and stability conditions.
- Charge improves the stability of self-gravitating systems.
- Solutions are viable for specific charge and model parameters.

## Abstract

This paper is devoted to studying charged anisotropic static spherically symmetric solutions through gravitationally decoupled minimal geometric deformation technique in $f(R)$ gravity. For this purpose, we first consider the known isotropic Krori-Barua solution for $f(R)$ Starobinsky model in the interior of a charged stellar system and then include the effects of two types of anisotropic solutions. The corresponding field equations are constructed and the unknown constants are obtained from junction conditions. We analyze the physical viability and stability of the resulting solutions through effective energy density, effective radial/tangential pressure, energy conditions, and causality condition. It is found that both solutions satisfy the stability range as well as other physical conditions for specific values of charge as well as model parameter and anisotropic constant. We conclude that the modified theory under the influence of charge yields more stable behavior of the self-gravitating system.