# Anisotropic stellar models admitting conformal motion

## TL;DR

This paper derives exact solutions for anisotropic compact stars in f(R) gravity that admit conformal motions, exploring their physical properties through analytical and graphical methods.

## Contribution

It introduces new exact solutions for anisotropic stellar models in f(R) gravity with conformal symmetry, extending previous models in general relativity.

## Key findings

- Solutions for f(R)=R and f(R)=aR+b cases.
- Physical properties analyzed both analytically and graphically.
- Models exhibit conformal symmetry in anisotropic stars.

## Abstract

We address the problem of finding static and spherically symmetric anisotropic compact stars in general relativity that admit conformal motions. The study is framed in the language of f(R) gravity theory in order to expose opportunity for further study in the more general theory. Exact solutions of compact stars are found under the assumption that spherically symmetric spacetimes which admits conformal motion with matter distribution anisotropic in nature. In this work, two cases have been studied for the existence of such solutions: first, we consider the model given by f(R) = R and then f(R) = aR+b. Finally, specific characteristics and physical properties have been explored by analytically along with graphical representations for conformally symmetric compact stars in f(R) gravity.