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The change of the Universe epochs within the scope of Bianchi type-V model

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Abstract

We investigate the Bianchi type-V cosmological model with dark matter and anisotropic dark energy. It is assumed that the two sources minimally interact, so their energy-momentum tensors are conserved separately. The proportionality condition that relates the shear scalar \((\sigma )\) with the expansion scalar \((\theta )\) and the assumption of a diagonal energy–momentum tensor lead to some restriction on the metric functions. A special law is introduced for skewness parameter that describes the deviation of pressure from isotropy. This law can lead to models: the little rip, the big rip and the hybrid expansion. The hybrid expansion law provides a description of the transition of the Universe from deceleration to acceleration. The Universe behavior is discussed depending on the numerical parameters of the models.

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Acknowledgements

This work is supported by the Russian Foundation for Basic Research (Grant No. 19-52-15008).

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Authors and Affiliations

  1. Department of General Relativity and Gravitation, Institute of Physics, Kazan Federal University, Kremlevskaya str. 18, Kazan, Russia, 420008

    Ruslan K. Muharlyamov

  2. Department of Higher Mathematics, Kazan State Power Engineering University, Krasnoselskaya str. 51, Kazan, Russia, 420066

    Tatiana N. Pankratyeva

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  1. Ruslan K. Muharlyamov
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  2. Tatiana N. Pankratyeva
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Correspondence to Ruslan K. Muharlyamov.

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Muharlyamov, R.K., Pankratyeva, T.N. The change of the Universe epochs within the scope of Bianchi type-V model. Indian J Phys 94, 1293–1302 (2020). https://doi.org/10.1007/s12648-019-01559-8

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