Regular Article - Theoretical Physics
Noether symmetry analysis of anisotropic universe in modified gravity
Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, Lahore, Pakistan
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Accepted: 26 April 2017
Published online: 5 May 2017
In this paper we study the anisotropic universe using Noether symmetries in modified gravity. In particular, we choose a locally rotationally symmetric Bianchi type-I universe for the analysis in gravity, where R is the Ricci scalar and is the Gauss–Bonnet invariant. Firstly, a model is proposed and the corresponding Noether symmetries are investigated. We have also recovered the Noether symmetries for f(R) and theories of gravity. Secondly, some important cosmological solutions are reconstructed. Exponential and power-law solutions are reported for a well-known model, i.e., . Especially, Kasner’s solution is recovered and it is anticipated that the familiar de Sitter spacetime giving cosmology may be reconstructed for some suitable value of n.
© The Author(s), 2017