Exact solutions in f(R) theory of gravity

TL;DR

This paper introduces a new method for finding static, spherically symmetric solutions in $F(R)$ gravity, leading to several novel solutions expressed through analytic functions, aiding future research in this area.

Contribution

A novel method for deriving static, spherically symmetric solutions in $F(R)$ gravity, expanding the set of known solutions and facilitating further exploration.

Findings

Derived new solutions in $F(R)$ gravity using the proposed method

Demonstrated the method's effectiveness in obtaining analytic solutions

Provided a framework that can be extended to find additional solutions

Abstract

We find a new method for looking for the static and spherically symmetric solutions in $F(R)$ theory of gravity. With this method, a number of new solutions in terms of the analytic functions are obtained. We hope this investigation may be of some help in the searching for some other solutions in $F(R)$ theory of gravity.