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Cosmological models with variable anisotropic parameter in f(R, T) gravity

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Abstract

In this article, we present and analyze cosmological models with an anisotropic variable parameter. We have set up the field equations with the space time in the form of Bianchi I metric with an f(R, T) gravity. The functional form for the f(R, T) gravity has been assumed to be \(f(R,T)=R+2f(T)\), where R and T are, respectively, the Ricci scalar and trace of the energy–momentum tensor. Two different models are constructed with respect to the scale factors, such as power law scale factor and hybrid scale factor. Moreover, the anisotropic parameter taken here in the form of hyperbolic function further gives clarity on the behavior of equation of state parameter. It is to note that when the values of the coefficient constant vanish, the model yields the isotropic universe. For both the cases, the deceleration parameter, state finder diagnostic pair and energy conditions have been obtained and analyzed which provide physical plausibility of the models.

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Acknowledgements

BM and SR are thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, for providing Visiting Associateship under which a part of this work was carried out. BM and FME acknowledge the Department of Mathematics, BITS-Pilani, Hyderabad Campus, where another part of this work was done. The authors are thankful to the honorable referees for their valuable comments and suggestions for the improvement in the paper.

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad, 500078, India

    B. Mishra

  2. School of Physics, University of Hyderabad, Hyderabad, 500046, India

    F. Md. Esmeili

  3. Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, West Bengal, 700 010, India

    Saibal Ray

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  1. B. Mishra
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Correspondence to Saibal Ray.

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Mishra, B., Esmeili, F.M. & Ray, S. Cosmological models with variable anisotropic parameter in f(R, T) gravity. Indian J Phys 95, 2245–2254 (2021). https://doi.org/10.1007/s12648-020-01877-2

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