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Interacting two fluid models in modified theories of gravitation

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Abstract

This research focuses on the cosmic evolution of a scenario with two fluids pressure-less dark matter and dark energy-interacting inside a flat FRW universe within the context of some modified gravitational theories. Additionally, in light of the power law form of the scale factor, the properties of the flat FRW cosmological model are addressed using a number of cosmological parameters, including energy density, equation of state parameter, squared sound speed, and \((\omega _{T}- \omega ^{\prime }_{T})\)-plane. For various positive nonadditivity interaction parameters \(\eta \), this scale factor produces a purely accelerating universe and the value of the deceleration parameters \(q=-0.54\). Finally, a graphic explanation of the physical behavior of the universe is given for various values of the coefficient m.

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Acknowledgements

FR, AP, and AD would like to thank the authorities of the Inter-University Centre for Astronomy and Astrophysics, Pune, India, for providing research facilities. This work is a part of the project submitted in DST-SERB, Govt. of India.

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Authors and Affiliations

  1. Department of Mathematics, S.P.M. Science and Gilani Arts, Commerce College, Ghatanji, Dist., Yavatmal, Maharashtra, 445301, India

    S. H. Shekh

  2. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    F. Rahaman

  3. Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura, U.P., 281406, India

    Anirudh Pradhan

  4. Department of Mathematics, GLA University, Mathura, U.P., 281406, India

    Archana Dixit

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  1. S. H. Shekh
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  2. F. Rahaman
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  4. Archana Dixit
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Correspondence to S. H. Shekh.

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Shekh, S.H., Rahaman, F., Pradhan, A. et al. Interacting two fluid models in modified theories of gravitation. Indian J Phys 97, 4093–4116 (2023). https://doi.org/10.1007/s12648-023-02691-2

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  • DOI: https://doi.org/10.1007/s12648-023-02691-2

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