Acceleration of the Universe without the Hubble tension with Kaniadakis holographic dark energy using the Hubble horizon as the IR cut-off

TL;DR

This paper proposes a Kaniadakis holographic dark energy model using the Hubble horizon as IR cutoff, which fits observational data well and resolves the Hubble tension without leading to a big rip.

Contribution

It introduces a novel holographic dark energy model based on Kaniadakis entropy, providing a new approach to address the Hubble tension and cosmological evolution.

Findings

Hubble constant estimated at 72.8 km/s/Mpc, resolving the Hubble tension.

The model predicts an age of the Universe of 14.2 Gyr.

The model successfully fits supernova and Hubble data.

Abstract

We introduce a holographic dark energy model that incorporates the first-order approximate Kaniadaski entropy, utilizing the Hubble horizon, $1/H$, as the infrared cutoff. We investigate the cosmological evolution within this framework. The model introduces an extra parameter relative to the $\Lambda$CDM model. It posits a Universe that is initially dominated by dark matter, which then evolves to a phase where dark energy becomes the predominant component, with this transition occurring at a redshift of approximately $z \sim 0.419$. The energy density of dark energy is ultimately expected to become constant, thereby circumventing the potential issue of a "big rip". Employing the most recent Type Ia supernova and Hubble parameter data, we constrain the model's parameters and find a Hubble constant of $H_0=72.8$ km/s/Mpc, thereby resolving the Hubble tension issue. The estimated age of the Universe, based on the best-fit parameter values, is $14.2$ Gyr. Furthermore, we predict the number of strong gravitational lenses and conduct statefinder and $Om$ diagnostic analyses to validate and characterize the model.