Renyi Holographic Dark Energy Model in f(R) Gravity with Hubble's IR Cut-Off

  • Kishor S. Wankhade Department of Mathematics, Yashwantrao Chavan Arts and Science Mahavidyalaya, Mangrulpir Dist. Washim, India
  • Alfred Y. Shaikh Department of Mathematics, Indira Gandhi Mahavidyalaya, Ralegaon, India https://orcid.org/0000-0001-5315-559X
  • Siraj N. Khan Prof. Ram Meghe College of Engineering and Management, Badnera, Amravati, India https://orcid.org/0000-0003-2246-7050
DOI: https://doi.org/10.26565/2312-4334-2023-3-06
Keywords: f(R) Gravity, RHDE, dark matter, Cosmology, Bianchi type-I space-time

Abstract

In the present study, a homogeneous and anisotropic LRS Bianchi type-I universe model is considered with an interacting dark matter and Renyi holographic dark energy model (RHDE) in f(R) gravity. The deceleration parameter (DP) shows a signature flipping for a universe which was decelerating in past and accelerating at present epoch. Therefore, the DP is a most physically justified parameter to analyze the solution of cosmological model. In order to find an exact solution of the field equations of the model, the shear scalar is considered to be proportional to the expansion scalar. We have considered f(R) = b Rn, the depiction model of f(R) which is the function of Ricci scalar R. The physical and geometrical characteristics of the universe model have been studied.

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Author Biographies

Kishor S. Wankhade, Department of Mathematics, Yashwantrao Chavan Arts and Science Mahavidyalaya, Mangrulpir Dist. Washim, India

Assistant Professor, Department of Mathematics

Alfred Y. Shaikh, Department of Mathematics, Indira Gandhi Mahavidyalaya, Ralegaon, India

Assistant Professor, Department of Mathematics

Siraj N. Khan, Prof. Ram Meghe College of Engineering and Management, Badnera, Amravati, India

Assistant Professor, Department of Mathematics

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Published
2023-09-04
Cited
How to Cite
Wankhade, K. S., Shaikh, A., & Khan, S. N. (2023). Renyi Holographic Dark Energy Model in f(R) Gravity with Hubble’s IR Cut-Off. East European Journal of Physics, (3), 87-95. https://doi.org/10.26565/2312-4334-2023-3-06
Issue
No. 3 (2023): East European Journal of Physics
Section
Original Papers

Copyright (c) 2023 Kishor S. Wankhade, Alfred Y. Shaikh, Siraj N. Khan

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