Kaniadakis holographic dark energy and cosmology

TL;DR

This paper develops a holographic dark energy model based on Kaniadakis entropy, analyzing its evolution, equation-of-state behavior, and implications for cosmic acceleration and future universe dynamics.

Contribution

It introduces a novel dark energy framework using Kaniadakis entropy, deriving analytical evolution equations and exploring diverse dark energy behaviors.

Findings

Universe exhibits standard thermal history with matter and dark-energy eras.

Transition to acceleration occurs at redshift z≈0.6.

Dark energy can be quintessence-like, phantom-like, or cross the phantom divide.

Abstract

We construct a holographic dark energy scenario based on Kaniadakis entropy, which is a generalization of Boltzmann-Gibbs entropy that arises from relativistic statistical theory and is characterized by a single parameter $K$ which quantifies the deviations from standard expressions, and we use the future event horizon as the Infrared cutoff. We extract the differential equation that determines the evolution of the effective dark energy density parameter, and we provide analytical expressions for the corresponding equation-of-state and deceleration parameters. We show that the universe exhibits the standard thermal history, with the sequence of matter and dark-energy eras, while the transition to acceleration takes place at $z\approx0.6$. Concerning the dark-energy equation-of-state parameter we show that it can have a rich behavior, being quintessence-like, phantom-like, or experience the phantom-divide crossing in the past or in the future. Finally, in the far future dark energy dominates completely, and the asymptotic value of its equation of state depends on the values of the two model parameters.