Holographic Dark Energy with Curvature

TL;DR

This paper explores a holographic dark energy model in a non-flat universe, deriving an analytic Hubble parameter form and analyzing observational data to assess its viability and implications for cosmic acceleration.

Contribution

It introduces an analytic Hubble parameter for holographic dark energy in curved space and performs a Bayesian analysis with observational data, highlighting the role of curvature.

Findings

Data favors a small but non-zero curvature parameter

Model can address the cosmic coincidence problem

Transition from deceleration to acceleration is naturally incorporated

Abstract

In this paper we consider an holographic model of dark energy, where the length scale is the Hubble radius, in a non flat geometry. The model contains the possibility to alleviate the cosmic coincidence problem, and also incorporate a mechanism to obtain the transition from decelerated to an accelerated expansion regime. We derive an analytic form for the Hubble parameter in a non flat universe, and using it, we perform a Bayesian analysis of this model using SNIa, BAO and CMB data. We find from this analysis that the data favored a small value for $\Omega_k$, however high enough to still produce cosmological consequences.