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Rényi holographic dark energy model with two IR cutoffs in Marder type universe

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Abstract

In the study of Saez–Ballester scalar tensor theory (Saez and Ballester in Phys Lett A 113:467, 1986), we examine the cosmic expansion phenomenon using the Rényi holographic dark energy (RHDE) with spatially homogeneous and anisotropic Marder type space time. Using a metric potential relationship, we find the solution to the field equations. Using Hubble and Granda–Oliveros horizon as IR cutoffs, we have derived the equation of state parameter (EoS) (\(\omega _{de}\)), RHDE energy density (\(\rho _{de}\)) and matter energy density (\(\rho _{m}\)), RHDE density parameter (\(\Omega _{de}\)), and Om-diagnostic. In this study, these parameters are plotted against the redshift (z). For three different choices of n and \(\delta\), the EoS parameter exhibits quintom-like behavior for both IR cutoffs. Further, looking into the \(\omega _{de}-\omega _{de}'\) plane and stability of the DE model by using a metric perturbation method. It has been found that quintom-like behavior and freezing region explain the Universe’s accelerating rate of growth.

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Acknowledgements

MVS acknowledges Department of Science and Technology (DST), Govt of India, New Delhi for financial support to carry out the Research Project [No. EEQ/2021/000737, Dt. 07/03/2022]. The authors are very much thankful to the editorial team and the reviewer’s for their constructive comments and valuable suggestions which have certainly improved the presentation and quality of the paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

    M. Vijaya Santhi, T. Chinnappalanaidu & Madhusmita Tripathy

  2. Department of Mathematics, Vignan’s Institute of Information Technology(Autonomous), Visakhapatnam, 530049, India

    T. Chinnappalanaidu

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  1. M. Vijaya Santhi
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  2. T. Chinnappalanaidu
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The study was carried out in collaboration of all authors. All authors read and approved the final manuscript.

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Correspondence to M. Vijaya Santhi.

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Santhi, M.V., Chinnappalanaidu, T. & Tripathy, M. Rényi holographic dark energy model with two IR cutoffs in Marder type universe. Indian J Phys (2024). https://doi.org/10.1007/s12648-023-03051-w

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