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arXiv · 1312.6684

Spatially Homogeneous Rotating Solution in f(R) Gravity and Its Energy Contents

M. Jamil Amir·Saima Naheed
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Abstract

In this paper, the metric approach of $f(R)$ 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.

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M. Jamil Amir, Saima Naheed. 2013-12-22. Spatially Homogeneous Rotating Solution in f(R) Gravity and Its Energy Contents. https://doi.org/10.1007/s10773-013-1489-3

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