A holographic cut-off inspired in the apparent horizon

TL;DR

This paper proposes a holographic dark energy model inspired by the apparent horizon, exploring its validity and consistency with late cosmic evolution and observational data, showing it remains close to the standard Lambda-CDM model.

Contribution

It introduces a new holographic cut-off based on the apparent horizon and analyzes its applicability and alignment with observational cosmological parameters.

Findings

The holographic cut-off is valid for describing late cosmic evolution.

The model remains close to the Lambda-CDM model when constrained with observational data.

The proposed approach provides a viable alternative to standard dark energy models.

Abstract

In this work we consider a general function for the $c^{2}$ term that appears in the conventional expression for the holographic dark energy in a FLRW curved spacetime. The cut-off prospective is inspired in the apparent horizon length. By exploring the slowly varying condition for the $c^{2}$ term, we obtain a range of validity for this holographic proposal. Under these considerations can be found that this holographic cut-off is adequate to describe the late cosmic evolution. Additionally, by considering some values constrained with the use of observational data for some cosmological parameters in the context of dark energy models, such as the deceleration parameter or the parameter state, can be shown that this holographic model remains {\it close} to the $\Lambda$CDM model.