Tsallis and Kaniadakis holographic dark energy with Complex Quintessence theory in Brans-Dicke cosmology

TL;DR

This paper explores complex quintessence-based holographic dark energy models within Brans-Dicke cosmology, analyzing their dynamics, cosmological parameters, and compatibility with observational data.

Contribution

It introduces a novel complex quintessence framework for Tsallis and Kaniadakis holographic dark energy models in Brans-Dicke cosmology, including interaction effects and parameter relationships.

Findings

Fractional energy density depends on model parameters.

Models can describe a real universe under certain parameter conditions.

Comparison with observational data constrains model parameters.

Abstract

In this paper, by considering the complex form of the quintessence model, we study two different dynamic structures of holographic dark energy as Tsallis and Kaniadakis in the framework Brans-Dicke cosmology. In each setup, we employ non-interacting and interacting cases and calculate some cosmological parameters such as the equation of state $\omega$. We also discuss the $ \omega- \omega '$ behavior. By modifying the potential and studying the scalar field dynamics, we examine the complex quintessence cosmology. In addition, considering the two parts of the quintessence field effects, i.e., real and complex, and considering the fractional energy density $ \Omega_{D} $, we examine whether it can describe a real universe or not. We also specify that the fractional energy density can not be arbitrary between 0 and 1. In other words, it depends on the Tsallis, Kaniadakis, and Brans-Dicke cosmology free parameters. We create a relationship between the fractional energy density and other parameters introduced in the text such as $\delta$, $b^{2}$, $\alpha$ and $\beta$ for each model separately. Finally, we compare the obtained results of models to each other and the latest observable data.