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

Author:

Sharma Umesh Kumar1ORCID,Pandey Bramha Dutta2ORCID,Suresh Kumar P.2ORCID,Mishra Krishna Kant3ORCID,Pankaj 4ORCID

Affiliation:

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

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

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

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

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 [Formula: see text] as the time scale. Various evolutionary aspects of the universe are characterized by Tsallis parameter [Formula: see text] and the model constant [Formula: see text]. 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.

Publisher

World Scientific Pub Co Pte Ltd

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