Energy-momentum distribution of a general plane symmetric spacetime in metric f(R) gravity

TL;DR

This paper derives energy-momentum distributions for a plane symmetric spacetime in metric f(R) gravity, assuming constant Ricci scalar, and examines specific models satisfying this condition.

Contribution

It provides exact vacuum solutions and energy distribution expressions in metric f(R) gravity under constant Ricci scalar assumption, which is a novel analysis.

Findings

Energy distribution expressions derived for specific f(R) models

Models satisfy the constant curvature condition

Exact vacuum solutions obtained in the studied spacetime

Abstract

In this paper, the exact vacuum solution of a general plane symmetric spacetime is investigated in metric f(R) gravity with the assumption of constant Ricci scalar. For this solution, we have studied the generalized Landau-Lifshitz energy-momentum complex in this theory to determine the energy distribution expressions for some specific f(R) models. Also, we show that these models satisfy the constant curvature condition.