Kaniadakis holographic dark energy in Brans-Dicke cosmology

TL;DR

This paper develops a Kaniadakis holographic dark energy model within Brans-Dicke cosmology using generalized entropy, showing it can explain the universe's accelerated expansion and analyzing its stability under different conditions.

Contribution

It introduces a novel holographic dark energy model based on Kaniadakis entropy in Brans-Dicke theory, exploring its cosmological implications and stability.

Findings

The model explains accelerated expansion without dark sector interaction.

It is unstable in the non-interacting case.

It can be stable with interaction for certain parameters.

Abstract

By using the holographic hypothesis and Kaniadakis generalized entropy, which is based on relativistic statistical theory and modified Boltzmann-Gibbs entrory, we build Kaniadakis holographic dark energy (DE) model in the Brans-Dicke framework. We drive cosmological parameters of Kaniadakis holographic DE model, with IR cutoff as the Hubble horizon, in order to investigate its cosmological consequences. Our study shows that, even in the absence of an interaction between the dark sectors of cosmos, the Kaniadakis holographic dark energy model with the Hubble radius as IR cutoff can explain the present accelerated phase of the universe expansion in the Brans-Dicke theory. The stability of the model, using the squared of sound speed, has been checked and it is found that the model is unstable in non-interacting case and can be stable for some range of model parameters within the interacting case.