Noether symmetry analysis of anisotropic universe in modified gravity
Abstract 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 $$f(R,\mathcal {G})$$ f ( R , G ) gravity, where R is the Ricci scalar and $$\mathcal {G}$$ G i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4869-7 |
| Summary: | Abstract 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 $$f(R,\mathcal {G})$$ f ( R , G ) gravity, where R is the Ricci scalar and $$\mathcal {G}$$ G is the Gauss–Bonnet invariant. Firstly, a model $$f(R,\mathcal {G})=f_0R^l+f_1\mathcal {G}^n$$ f ( R , G ) = f 0 R l + f 1 G n is proposed and the corresponding Noether symmetries are investigated. We have also recovered the Noether symmetries for f(R) and $$f(\mathcal {G})$$ f ( G ) theories of gravity. Secondly, some important cosmological solutions are reconstructed. Exponential and power-law solutions are reported for a well-known $$f(R,\mathcal {G})$$ f ( R , G ) model, i.e., $$f(R,\mathcal {G})=f_0R^n\mathcal {G}^{1-n}$$ f ( R , G ) = f 0 R n G 1 - n . Especially, Kasner’s solution is recovered and it is anticipated that the familiar de Sitter spacetime giving $$\Lambda \mathrm{CDM}$$ Λ CDM cosmology may be reconstructed for some suitable value of n. |
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| ISSN: | 1434-6044 1434-6052 |