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Diagnosing interacting Tsallis holographic dark energy in the non-flat universe

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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Vipin Chandra Dubey

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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, and

Anirudh Pradhan

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

E-mail Address: pradhan.anirudh@gmail.com

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https://doi.org/10.1142/S0219887820500322Cited by:18 (Source: Crossref)

Abstract

This paper explores the interacting Tsallis holographic dark energy (THDE) model in a non-flat universe following an infrared cutoff as the apparent horizon. The equation of state (EoS) and the deceleration parameter of THDE model are determined to understand the cosmological evolution for interacting THDE model in the non-flat universe. By applying the statefinder $(r, s)$ parameter-pairs diagnostic and $ω_{D} - ω_{D}^{'}$ pair dynamical analysis for the derived THDE model, we plot the evolutionary trajectories for different cases of Tsallis parameter $δ$ and interaction term $b^{2}$ and also, for spatial curvature $Ω_{k 0} = 0$ , $- 0.0012$ and $0.0026$ corresponding to flat, open and closed universes, respectively, in the framework of Planck 2018 base cosmology results VI-LCDM observational data.

Keywords:

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

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