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Bouncing cosmology for entropy corrected models in Hořava–Lifshitz gravity and fractal universe

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Abstract

The modified field equations are written in logarithmic and power law versions of entropy corrected models in Einstein’s gravity in the background of FRW universe. In one section, a brief review of the Hořava–Lifshitz gravity is discussed and the modified field equations in logarithmic and power law versions of entropy corrected models in Hořava–Lifshitz gravity are formulated. The stability analysis for these models is performed by describing the dynamical system. In another section, a brief review of the fractal universe is presented and the modified field equations in logarithmic and power law versions of entropy corrected models in fractal universe are formulated. The stability analysis of the dynamical system for these models in the framework of fractal universe is described. Furthermore, the bouncing scenarios of the universe in Hořava–Lifshitz gravity and fractal model for both logarithmic and power law entropy corrected versions in \(k=0, +\,1, -\,1\) separately are analyzed. For different cases, the validity of null energy condition at the time of bounce is examined and the behaviors of the physical quantities are depicted through diagrams. Finally, the modifications in Newton’s law of gravitation are discussed for the chosen models.

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Acknowledgements

The author TB is thankful to IUCAA, Pune, for their warm hospitality where part of the work has been done during a visit under the Associateship Programme.

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Authors and Affiliations

  1. Adani Institute of Infrastructure Engineering, Ahmedabad, 382421, Gujarat, India

    Tanwi Bandyopadhyay

  2. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711 103, India

    Ujjal Debnath

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  1. Tanwi Bandyopadhyay
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  2. Ujjal Debnath
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Correspondence to Tanwi Bandyopadhyay.

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Bandyopadhyay, T., Debnath, U. Bouncing cosmology for entropy corrected models in Hořava–Lifshitz gravity and fractal universe. Eur. Phys. J. Plus 135, 613 (2020). https://doi.org/10.1140/epjp/s13360-020-00618-y

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