Kaniadakis Holographic Dark Energy in non-flat Universe

TL;DR

This paper develops a Kaniadakis holographic dark energy model within a non-flat universe, analyzing cosmic evolution, stability, and observational constraints, revealing a possible phantom regime and transition from deceleration to acceleration.

Contribution

It introduces a novel KHDE model in non-flat geometry, explores its dynamical behavior, and constrains parameters using recent observational data.

Findings

Universe can transition from deceleration to acceleration.

KHDE model allows for a phantom regime.

Model parameters are consistent with recent $H(z)$ and supernova data.

Abstract

In present research, we construct Kaniadakis holographic dark energy (KHDE) model within a non-flat Universe by considering the Friedmann-Robertson-Walker (FRW) metric with open and closed spatial geometries. We therefore investigate cosmic evolution by employing the density parameter of the dark energy (DE), the equation of state (EoS) parameter and the deceleration parameter (DP). The transition from decelerated to accelerated expanding phase for the KHDE Universe is explained through dynamical behavior of DP. With the classification of matter and DE dominated epochs, we find that the Universe thermal history can be defined through the KHDE scenario, and moreover, a phantom regime is experienceable. The model parameters are constrained by applying the newest $30$ data cases of $H(z)$ measurements, over the redshift span $0.07 \leq z \leq 2.36$, and the distance modulus measurement of the recent Union $2.1$ data set of type Ia supernovae. The classical stability of KHDE model has also been addressed.