Research PaperNo Access

Tsallis holographic model of dark energy: Cosmic behavior, statefinder analysis and $ω_{D} – ω_{D}^{'}$ pair in the nonflat universe

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura-281 406, Uttar Pradesh, India

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

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Umesh Kumar Sharma

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

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura-281 406, Uttar Pradesh, India

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

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, and

A. Beesham

Department of Mathematical Sciences, University of Zululand, Kwa-Dlangezwa 3886, South Africa

E-mail Address: beeshama@unizulu.ac.za

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https://doi.org/10.1142/S0218271819501645Cited by:19 (Source: Crossref)

Abstract

This paper investigates the Tsallis holographic dark energy (THDE) model in accordance with the apparent horizon as an infrared cut-off, in a non flat universe. The cosmological evolution of the deceleration parameter and equation of state of THDE model are calculated. The evolutionary trajectories are plotted for the THDE model for distinct values of the Tsallis parameter $δ$ besides distinct spatial curvature contributions, in the statefinder $(r, s)$ parameter-pairs and $ω_{D} – ω_{D}^{'}$ plane, considering the present value of dark energy (DE) density parameter $Ω_{D 0}$ , $Ω_{D 0} = 0.72$ , in the light of $WMAP + e CMB + BAO + H_{0}$ observational data. The statefinder and $ω_{D} – ω_{D}^{'}$ plane plots specify the feature of the THDE and demonstrate the separation between this framework and other models of DE.

Keywords:

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

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