Plane Symmetric Solutions in f(R) Gravity

TL;DR

This paper investigates static plane symmetric vacuum solutions in f(R) gravity, deriving three solutions under constant scalar curvature and comparing them with known General Relativity solutions.

Contribution

It introduces new plane symmetric solutions in f(R) gravity with constant scalar curvature, expanding the understanding of exact solutions in modified gravity theories.

Findings

Found three distinct plane symmetric solutions in f(R) gravity.

Established correspondence between these solutions and known GR solutions.

Analyzed solutions for both zero and non-zero scalar curvature.

Abstract

The modified theories of gravity, especially the f(R) theory, have attracted much attention in recent years. In this context, we explore static plane symmetric vacuum solutions using the metric approach of this theory. The field equations are solved using the assumption of constant scalar curvature which may be zero or non-zero. We have found a total of three plane symmetric solutions. The correspondence of these solutions with the well-known solutions in General Relativity is given.