Some static spherically symmetric interior solutions of $f(R)$ gravity

TL;DR

This paper presents new exact static spherically symmetric interior solutions in $f(R)$ gravity, describing star configurations and matching interior and exterior solutions for a complete stellar model.

Contribution

The work introduces novel exact solutions in $f(R)$ gravity for stellar interiors, expanding the understanding of equilibrium configurations in modified gravity theories.

Findings

Derived new exact interior solutions for $f(R)$ gravity

Matched interior solutions with exterior metrics for complete models

Enhanced the theoretical framework for stellar structure in modified gravity

Abstract

We have found some new exact static spherically symmetric interior solutions of metric $f(R)$ gravitational theories describing the equilibrium configuration of a star. Then the solution is matched to the exterior solution and thus gives a complete description of a star in $R^{1-n/2}$ theory.