# Exploring Plane Symmetric Solutions in $f(R)$ Gravity

## TL;DR

This paper investigates plane symmetric solutions within $f(R)$ gravity, extending previous static vacuum solutions by considering both constant and non-constant scalar curvatures, and recovering known solutions with specific $f(R)$ models.

## Contribution

It extends existing work on static plane symmetric solutions in $f(R)$ gravity by exploring both constant and non-constant scalar curvature cases.

## Key findings

- Recovered solutions with power law $f(R)$ models
- Obtained solutions with logarithmic $f(R)$ models
- Extended previous static vacuum solutions

## Abstract

The modified theories of gravity, especially the $f(R)$ gravity, have attracted much attention in the last decade. This paper is devoted to exploring plane symmetric solutions in the context of metric $f(R)$ gravity. We extend the work on static plane symmetric vacuum solutions in $f(R)$ gravity already available in literature [1, 2]. The modified field equations are solved using the assumption of both constant and non-constant scalar curvature. Some well known solutions have been recovered with power law and logarithmic forms of $f(R)$ models.