Spherical Symmetric Solution in f(R) Model Around Charged Black Hole

TL;DR

This paper explores static, spherically symmetric solutions in f(R) gravity models around charged black holes, analyzing weak field limits and deriving spacetime metrics for specific f(R) functions.

Contribution

It provides new solutions for charged black holes in f(R) gravity, especially for models like f(R) = R + mu^4/R, expanding understanding of such theories.

Findings

Derived spacetime metrics for specific f(R) models

Analyzed weak field limit of f(R) gravity

Extended solutions to charged black holes in f(R) theories

Abstract

A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon h(R). In particular, weconsider the case lim_{R =0} {h(R)/ dh(R)/dR}=0 and find the space time metric for f(R) = R + {mu}^{4} /R and f(R) = R^{1-epsilon} theories of gravity far away a charged mass point.