Localized energy associated with Bianchi-Type VI universe in $f(R)$ theory of gravity

TL;DR

This paper investigates the energy distribution in Bianchi-Type VI universe within $f(R)$ gravity using a generalized Landau-Lifshitz energy-momentum complex, applying specific $f(R)$ models to derive concrete results.

Contribution

It introduces a method to compute energy distribution in Bianchi-Type VI spacetime in $f(R)$ gravity using a generalized Landau-Lifshitz approach and applies it to well-known $f(R)$ models.

Findings

Energy distribution depends on the chosen $f(R)$ model.

Explicit expressions for energy are derived for specific models.

Results contribute to understanding energy localization in modified gravity.

Abstract

In the present work, focusing on one of the most popular problems in modern gravitation theories, we consider generalized Lanndau-Liftshitz energy-momentum relation to calculate energy distribution of the Bianchi-Type VI spacetime in $f(R)$ gravity. Additionally, the results are specified by using some well-known $f(R)$-gravity models.