Generalized interacting Barrow Holographic Dark Energy: cosmological predictions and thermodynamic considerations

TL;DR

This paper develops a generalized interacting Barrow Holographic Dark Energy model with Hubble horizon cutoff, analyzing its cosmological evolution, thermodynamic consistency, and observational viability as a dark energy candidate.

Contribution

It introduces a novel generalized BHDE model with non-gravitational interaction, examining its cosmological and thermodynamic properties in detail.

Findings

Model aligns with the Universe's thermal history.

Consistent with current cosmological observations.

Satisfies thermodynamic laws, including the generalized second law.

Abstract

We construct a generalized interacting model of Barrow Holographic Dark Energy (BHDE) with infrared cutoff being given by the Hubble horizon. We analyze the cosmological evolution of a flat Friedmann-Lema\^itre-Robertson-Walker Universe filled by pressureless dark matter, BHDE and radiation fluid. The interaction between the dark sectors of the cosmos is assumed of non-gravitational origin and satisfying the second law of thermodynamics and Le Chatelier-Braun principle. We study the behavior of various model parameters, such as the BHDE density parameter, the equation of state parameter, the deceleration parameter, the jerk parameter and the square of sound speed. We show that our model satisfactorily retraces the thermal history of the Universe and is consistent with current observations for certain values of parameters, providing an eligible candidate to describe dark energy. We finally explore the thermodynamics of our framework, with special focus on the validity of the generalized second law.