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New Tsallis holographic dark energy with apparent horizon as IR-cutoff in non-flat Universe

Department of Mathematics (BSH), Pranveer Singh Institute of Technology, Kanpur 209305, Uttar Pradesh, India

E-mail Address: pankaj.fellow@yahoo.co.in

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

IT Department (Math Section), University of Technology and Applied Sciences-HCT, Muscat 33, Oman

E-mail Address: nisha.ma123@gmail.com

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Umesh Kumar Sharma

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

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

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

Corresponding author.

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P. Suresh Kumar

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

IT Department (Math Section), University of Technology and Applied Sciences-Salalah, Oman

E-mail Address: sureshharinirahav@gmail.com

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, and

Shikha Srivastava

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India

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

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https://doi.org/10.1142/S0219887823500858Cited by:2 (Source: Crossref)

Abstract

In this work, new Tsallis holographic dark energy with apparent horizon as IR-cutoff is constructed in a non-flat Friedmann–Lemaitre–Robertson–Walker Universe. The accelerating expansion phase of the Universe is described by using deceleration parameter, equation of state parameter and density parameter by using different values of new Tsallis holographic dark energy (NTHDE) parameter “ $δ$ ”. The NTHDE Universe’s transition from a decelerated to an accelerated expanding phase is described by the smooth graph of deceleration parameter. Depending on distinct values of Tsallis parameter “ $δ$ ”, we have explored the quintessence behavior of the equation of state parameter. We used Hubble data sets obtained using Cosmic Chronometric methods and distance modulus measurement of Type Ia Supernova to fit the NTHDE parameters. Stability of our model by analyzing the squared speed of sound is investigated as well.

Keywords:

AMSC: 53Z05

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