Tsallis holographic dark energy model with event horizon cutoff in modified gravity

TL;DR

This paper explores a modified gravity model incorporating Tsallis holographic dark energy with an event horizon cutoff, analyzing its cosmological evolution, singularities, and compatibility with observational data.

Contribution

It introduces a novel combination of Tsallis holographic dark energy with Nojiri-Odintsov gravity and studies its cosmological implications and observational viability.

Findings

Oscillatory behavior of Hubble parameter over time.

Presence of singularities related to the second derivative of f(R).

Model fits supernova data comparably to ΛCDM.

Abstract

We considered the Tsallis holographic dark energy model in frames of Nojiri-Odintsov gravity with $f(R)=R+\lambda R^2-\sigma{\mu}/{R}$. For IR cutoff event horizon is taken. The cosmological evolution of such universe is investigated for various initial conditions and values of parameters. The dependence of the Hubble parameter $H$ from time in the future has an oscillations. It is shown that for $\mu \neq 0$ appearance of singularities are typical and the time up to these singularities can be relatively small from cosmological viewpoint. The singularity is associated with the zero of second deribative of $f(R)$ on $R$. It is interesting to note that these models can describe observational data from Ia supernovae astrophysics and dependence of the Hubble parameter from redshift $z$ at least not worse than canonical $\Lambda$CDM model.