Kaniadakis holographic dark energy in nonflat universe

Abstract

In this research, we construct Kaniadakis holographic dark energy (KHDE) model within a nonflat Universe by considering the Friedmann–Robertson–Walker (FRW) metric with open and closed spatial geometries. The Kaniadakis entropy is indeed a one-parameter generalization of the classical Boltzmann–Gibbs–Shannon entropy which emerges from a coherent and self-consistent relativistic statistical theory. 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 [Formula: see text] data cases of [Formula: see text] measurements, over the redshift span [Formula: see text], and the distance modulus measurement of the recent Union [Formula: see text] data set of type Ia supernovae. The classical stability of KHDE model has also been addressed.