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

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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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Authors and Affiliations

  1. Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan

    M. Jamil Amir & Saima Naheed

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  1. M. Jamil Amir
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  2. Saima Naheed
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Correspondence to M. Jamil Amir.

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Amir, M.J., Naheed, S. Spatially Homogeneous Rotating Solution in f(R) Gravity and Its Energy Contents. Int J Theor Phys 52, 1688–1695 (2013). https://doi.org/10.1007/s10773-013-1489-3

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  • DOI: https://doi.org/10.1007/s10773-013-1489-3

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