Weakly Charged Compact Stars in $f \left( R \right)$ gravity

TL;DR

This paper investigates how electric charge and modifications to gravity influence the structure and mass limits of compact stars, using numerical methods to compare extended gravity theories with general relativity.

Contribution

It introduces a detailed numerical analysis of charged compact stars within $f(R)$ gravity, exploring the effects of charge and gravity modifications on their properties.

Findings

Mass-radius relations depend on charge and gravity parameters.

The Oppenheimer Volkoff mass limit is affected by the extended gravity parameters.

Results differ from those predicted by standard General Relativity.

Abstract

We study electrically charged compact stars in the framework of extended theory of gravity (ETG). We assume that the charge density is proportional to the energy density. The polytropic equation of state is chosen to describe the state of the charged perfect fluid. We aim to find the Oppenheimer Volkoff (OV) mass limit for charged compact stars. A detailed numerical study is performed. We show the dependence of the mass-radius diagram of the spheres on the values of the perturbatif parameter $\beta$, the polytropic exponent $\gamma$ and the charge fraction $\alpha$. Our results are compared with those found in the literature in the case of applying General Relativity (GR).