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Rényi holographic dark energy in the Brans–Dicke cosmology

Umesh Kumar Sharma

http://orcid.org/0000-0003-4167-8953

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, U. P., 281406, India

E-mail Address: sharma.umesh@gla.ac.in

Corresponding author.

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and

Vipin Chandra Dubey

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, U. P., 281406, India

E-mail Address: vipin.dubey@gla.ac.in

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https://doi.org/10.1142/S0217732320502818Cited by:14 (Source: Crossref)

Abstract

In this paper, we construct a holographic dark energy (HDE) model considering the IR cut-off as Hubble horizon, holographic hypothesis, and using the generalized Rényi entropy, and investigate its cosmological outcomes in Brans–Dicke gravity without interaction. We observe the suitable behavior for the cosmological parameters, involving the deceleration parameter, the equation of state (EoS) parameter, and the density parameter in both flat and non-flat Universes. It is also concluded by the stability analysis that the Rényi holographic dark energy (RHDE) model is classically stable at present and future for the Rényi parameter $δ$ $δ$ in both flat and non-flat Universe.

Keywords:

PACS: 98.80.Es, 95.36.+x, 98.80.Ck

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