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Swampland criteria and cosmological behavior of Tsallis holographic dark energy in Bianchi -III 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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Shikha Srivastava

http://orcid.org/0000-0002-8867-5584

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

E-mail Address: shikha.azm06@gmail.com

Corresponding author.

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, and

A. Beesham

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

Faculty of Natural Sciences, Mangosuthu University of Technology, P O Box 12363, Jacobs 4026, South Africa

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

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https://doi.org/10.1142/S021988782050098XCited by:10 (Source: Crossref)

Abstract

In this paper, a new form of dark energy, known as Tsallis holographic dark energy (THDE), with IR cutoff as Hubble horizon proposed by Tavayef et al. Tsallis holographic dark energy, Phys. Lett. B781 (2018) 195 has been explored in Bianchi-III model with the matter. By taking the time subordinate deceleration parameter, the solution of Einstein’s field equation is found. The Universe evolution from earlier decelerated to the current accelerated phase is exhibited by the deceleration parameter acquired in the THDE model. It can be seen that the derived THDE model is related to an accelerating Universe with quintessence ( $ω \geq - 1$ $ω \geq - 1$ ). The squared sound speed $v_{s}^{2}$ $v_{s}^{2}$ also suggests that the THDE model is classically stable at present. In addition, the quintessence phase of the THDE model is analyzed with swampland conjecture to reformulate the accelerating expansion of the Universe.

Keywords:

PACS: 98.80.−k

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