Study of Tsallis holographic dark energy model in the framework of Fractal cosmology

TL;DR

This paper investigates a fractal universe model incorporating Tsallis holographic dark energy and dark matter interaction, analyzing cosmic evolution, stability, and compatibility with observational data.

Contribution

It introduces a new interaction reconstruction in a fractal cosmology framework with Tsallis holographic dark energy, and tests its observational viability and stability.

Findings

Universe transitions smoothly from deceleration to acceleration.

Model's Hubble parameter evolution aligns with cosmic chronometer data.

Model remains stable against small perturbations.

Abstract

In this work, we study the evolution of a fractal universe composed of Tsallis holographic dark energy (THDE) and a pressureless dark matter that interact with each other through a mutual interaction. We then reconstruct the interaction term of this model by considering the Hubble length as the IR cut-off scale. We also study the behavior of different cosmological parameters during the cosmic evolution from the early matter-dominated era until the late-time acceleration. The present study shows that the universe undergoes a smooth transition from a decelerated to an accelerated phase of expansion in the recent past. Moreover, we also shown the evolution of the normalized Hubble parameter for our model and compared that with the latest cosmic chronometer data. Finally, we test the viability of the model by exploring its stability against small perturbation by using the squared of the sound speed.