# Cosmological Implications of the Generalized Entropy Based Holographic Dark Energy Models in Dynamical Chern-Simons Modified Gravity

Jawad, Abdul  (Department of Mathematics, COMSATS University Islamabad, Lahore Campus-54000, Pakistan) ; Younas, M. (Department of Mathematics, COMSATS University Islamabad, Lahore Campus-54000, Pakistan) ; Qummer, Saba (Department of Mathematics, COMSATS University Islamabad, Lahore Campus-54000, Pakistan) ; Moradpour, H.  (Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran) ; Rani, Shamaila  (Department of Mathematics, COMSATS University Islamabad, Lahore Campus-54000, Pakistan)

23 January 2019

Abstract: Recently, Tsallis, Rényi, and Sharma-Mittal entropies have widely been used to study the gravitational and cosmological setups. We consider a flat FRW universe with linear interaction between dark energy and dark matter. We discuss the dark energy models using Tsallis, Rényi, and Sharma-Mittal entropies in the framework of Chern-Simons modified gravity. We explore various cosmological parameters (equation of state parameter, squared sound of speed ) and cosmological plane ( ${\omega }_{d}-{\omega }_{d}^{\mathrm{\prime }}$ , where ${\omega }_{d}^{\mathrm{\prime }}$ is the evolutionary equation of state parameter). It is observed that the equation of state parameter gives quintessence-like nature of the universe in most of the cases. Also, the squared speed of sound shows stability of Tsallis and Rényi dark energy model but unstable behavior for Sharma-Mittal dark energy model. The ${\omega }_{d}-{\omega }_{d}^{\mathrm{\prime }}$ plane represents the thawing region for all dark energy models.

Published in: Advances in High Energy Physics 2019 (2019) 1287932