2015
DOI: 10.1139/cjp-2014-0338
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Locally rotationally symmetric Bianchi type I cosmology in f(R) gravity

Abstract: This manuscript is devoted to investigating a Bianchi type I universe in the context of f(R) gravity. For this purpose, we explore the exact solutions of locally rotationally symmetric Bianchi type I space-time in the metric version of f(R) gravity. The modified field equations are solved by assuming the expansion scalar to be proportional to the shear scalar , which gives A = B n , where A and B are the metric coefficients, and n is an arbitrary constant. In particular, three solutions have been found and cor… Show more

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Cited by 16 publications
(2 citation statements)
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“…In this study they [68] examined a new classification of embedded class-I solutions of compact stars. In the context of f(R) gravity, the LRS Bianchi type I universe is investigated, and reveal three solutions with corresponding Killing symmetries in [69] and [70]. Shamir et al [71] studied the relativistic construction of compact astronomical solutions in f(R) gravity and found that the Bardeen model of black holes describes physically realistic stellar structures.…”
Section: Introductionmentioning
confidence: 99%
“…In this study they [68] examined a new classification of embedded class-I solutions of compact stars. In the context of f(R) gravity, the LRS Bianchi type I universe is investigated, and reveal three solutions with corresponding Killing symmetries in [69] and [70]. Shamir et al [71] studied the relativistic construction of compact astronomical solutions in f(R) gravity and found that the Bardeen model of black holes describes physically realistic stellar structures.…”
Section: Introductionmentioning
confidence: 99%
“…The Bianchi type-I string cosmological model with bulk viscosity was examined by Tiwari and Sonia [46] . Many cosmologists [47][48][49] have explored the Bianchi type-I models from a different perspective. Now we can say that Spatially homogeneous and anisotropic cosmological models play an important role in the description of large-scale phenomena in the cosmos.…”
Section: Introductionmentioning
confidence: 99%