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Cosmological evolution of new Tsallis agegraphic dark energy with conformal time as IR-cutoff

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

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

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Bramha Dutta Pandey

https://orcid.org/0000-0001-9254-8185

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

E-mail Address: bdpandey05@gmail.com

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P. Suresh Kumar

https://orcid.org/0000-0002-7802-1173

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

E-mail Address: sureshharinirahav@gmail.com

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Krishna Kant Mishra

https://orcid.org/0000-0002-6034-5444

Department of Applied Sciences and Humanities, Pranveer Singh Institute of Technology, Kanpur, Uttar Pradesh, India

E-mail Address: krish.fellow@gmail.com

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, and

Pankaj

https://orcid.org/0000-0002-3313-6006

School of Basic and Applied Sciences, IILM University, Knowledge Park-II, Greater Noida 201306, Uttar Pradesh, India

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

Corresponding author.

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https://doi.org/10.1142/S0219887824502219Cited by:0 (Source: Crossref)

Abstract

This paper considers the only sectors to constitute the present universe as the dark matter and dark energy. The proposed new agegraphic dark energy model studies the gradual transition from matter to dark energy in sequential order, including the current dominance of the matter sector by dark energy. The model utilizes concepts of Tsallis entropy and the Karolyhazy relation with conformal time $η$ as the time scale. Various evolutionary aspects of the universe are characterized by Tsallis parameter $δ$ and the model constant $c$ . Expressions for dynamic behavior of dark energy, as a differential equation, equation of state and deceleration parameters are obtained to describe the thermal history of universe evolution. Also, the stability of the model is analyzed through squared sound speed parameter. The analysis is made by considering an interaction as well as independence among the constituent sectors of the universe.

Keywords:

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

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