Gödel-type spacetimes in f(R)-gravity

Abstract

Abstract:We focus on one of the famous problems in theoretical physics today: the problem of energy-momentum localization. Although many authors have endeavoured to solve this problem, it has remained unsolved until now. In this work, we consider the generalized version of the Landau-Lifshitz definition in (R)-Gravity to discuss the energy-momentum localization problem in Gödel-type metrics. We also take into account five popular (R) models to obtain specific results. PACS (2008):04.20.-q, 04.50.+h.

Energy-Momentum Distribution for Magnetically Charged Black Hole Metric

“…They also investigated the energy distribution of cosmic string spacetime [28]. Similar work can be found in [29]- [32].…”

“…For the comparative analysis of Energy-Momentum Distribution for Magnetically Charged Black Hole Metric, we have noted some worthy works in modified f (R) theories of gravity in [29], [27], and [28] under some specific assumptions of different models and parameters. It has been noted that our work about Einstein, Landau-Lifshitz and Bergmann's energy-momentum complexes for static spherically symmetric magnetically charged regular black hole metric is consistent and similar in many aspects.…”

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

“…Later, Amir and Naheed [51] considered a spatially homogeneous rotating spacetime solution of f (R) gravity to calculate Landau-Liftshitz energy density. Moreover, using some wellknown f (R) theory suggestions, Salti et al [52] also discussed energy-momentum localization problem for Gödel-Type metrics. These studies motivate us to discuss energy-momentum problem for another background in f (R)-gravity and extend those works.…”