Dynamical Analysis of Charged Anisotropic Spherical Star in f(R) Gravity

TL;DR

This paper investigates how electromagnetic fields influence the stability of charged anisotropic stars within a specific f(R) gravity model, revealing that electromagnetic effects can slow collapse and enhance stability.

Contribution

It introduces a detailed analysis of electromagnetic effects on stellar stability in a novel f(R) gravity framework, including development of collapse equations and perturbation analysis.

Findings

Electromagnetic fields slow down stellar collapse.

Electromagnetic effects increase stability in Newtonian regime.

Comparison with existing literature validates the results.

Abstract

We consider a modified gravity theory, $f(R)=R+\alpha R^n-\frac{\mu^4}{R^m}$, in the metric formulation and analyze the contribution of electromagnetic field on the range of dynamical instability of a star filled with anisotropic matter. The collapse equation is developed by applying conservation on anisotropic matter, Maxwell source and dark source terms arising due to $f(R)$ gravity. Specific perturbation scheme is implemented and it is observed that the inclusion of Maxwell source slows down the collapse and makes system more stable in Newtonian regime. Also, we make comparison of our results with the existing literature.