Spatially Homogeneous Rotating Solution in f(R) Gravity and Its Energy Contents
General Relativity and Quantum Cosmology
2015-06-18 v1
Abstract
In this paper, the metric approach of theory of gravity is used to investigate the exact vacuum solutions of spatially homogeneous rotating spacetimes. For this purpose, R is replaced by f(R) in the standard Einstein-Hilbert action and the set of modified Einstein field equations reduce to a single equation. We adopt the assumption of constant Ricci scalar which maybe zero or non-zero. Moreover, the energy density of the non-trivial solution has been evaluated by using the generalized Landau-Lifshitz energy-momentum complex in the perspective of f(R) gravity for some appropriate f(R) model, which turns out to be a constant quantity.
Keywords
Cite
@article{arxiv.1312.6684,
title = {Spatially Homogeneous Rotating Solution in f(R) Gravity and Its Energy Contents},
author = {M. Jamil Amir and Saima Naheed},
journal= {arXiv preprint arXiv:1312.6684},
year = {2015}
}
Comments
10 pages