New Tsallis holographic dark energy with apparent horizon as IR-cutoff in non-flat Universe

TL;DR

This paper introduces a new form of Tsallis holographic dark energy model using the apparent horizon as IR-cutoff in a non-flat universe, analyzing its cosmological implications and stability.

Contribution

It proposes a novel NTHDE model with the apparent horizon as IR-cutoff in non-flat universes and explores its dynamic behavior and observational constraints.

Findings

The universe transitions from deceleration to acceleration in the model.

The equation of state parameter exhibits quintessence behavior for certain parameters.

The model's stability is confirmed through squared speed of sound analysis.

Abstract

New Tsallis holographic dark energy with apparent horizon as IR-cutoff studied by considering non-flat Friedmann-Lemaitre-Robertson-Walker metric. The accelerating expansion phase of the Universe is described by using deceleration parameter, equation of state parameter and density parameter by using different values of NTHDE parameter "$\delta$". The NTHDE Universe's transition from a decelerated to an accelerated expanding phase is described by the smooth graph of deceleration parameter. Depending on distinct values of Tsallis parameter "$\delta$", we have explored the quintessence behavior of the equation of state parameter. We used Hubble data sets obtained using Cosmic Chronometric methods and distance modulus measurement of Type Ia Supernova to fit the NTHDE parameters. Stability of our model by analyzing the squared speed of sound investigated as well.