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 19 publications
(4 citation statements)
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“…Van den Hoogen [28] et al investigated Bianchi type cosmological models in f (T ) tele-parallel gravity. Shamir [29] et al have explored locally rotationally symmetric Bianchi type I cosmology in f (R) gravity. Rodrigues [30] et al analyzed anisotropic universe models in f (T ) gravity.…”
Section: Introductionmentioning
confidence: 99%
“…Van den Hoogen [28] et al investigated Bianchi type cosmological models in f (T ) tele-parallel gravity. Shamir [29] et al have explored locally rotationally symmetric Bianchi type I cosmology in f (R) gravity. Rodrigues [30] et al analyzed anisotropic universe models in f (T ) gravity.…”
Section: Introductionmentioning
confidence: 99%
“…After a long period of time, the expansion will cease entirely and the Universe will attain isotropy i.e as t → ∞, σ 2 θ → 0 [19].The Hubble parameter (H) and expansion scalar (θ) have been analyzed, revealing that the expansion rate of the Universe was higher during the Big Bang and has gradually decreased over time [20]. Researchers have also explored the solutions of Bianchi-type cosmology in metric f (R) gravity and compared them with Lematre-Tolman cosmology, which describes inhomogeneity in the Universe on various scales [21]. The influence of magnetism in the early stages of the Universe's evolution has been observed in the investigation of Bianchi type I space-time in f (R) gravity with the presence of string clouds and domain walls containing strange quark matter [22].…”
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%