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

## TL;DR

This paper investigates various generalized entropy-based dark energy models within Chern-Simons modified gravity, analyzing their cosmological behavior, stability, and evolution in a flat FRW universe with dark matter interaction.

## Contribution

It introduces and compares Tsallis, Rényi, and Sharma-Mitall entropy-based dark energy models in the context of Chern-Simons gravity, highlighting their cosmological implications and stability properties.

## Key findings

- Most models exhibit quintessence-like behavior.
- Tsallis and Rényi models are stable; Sharma-Mitall is unstable.
- The models' parameters suggest thawing dark energy evolution.

## Abstract

Recently, Tsallis, R\'{e}nyi and Sharma-Mitall and 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, R\'{e}nyi and Sharma-Mitall 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 ($\omega_{d}-\omega_{d}'$, where $\omega_{d}'$, 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 the models for Tsallis, R\'{e}nyi dark energy model while unstable behavior for Sharma-Mitall dark energy model. The $\omega_{d}-\omega_{d}'$ plane represents the thawing region for all dark energy models.