Some models of holographic dark energy on the Randall-Sundrum brane and observational data

TL;DR

This paper explores holographic dark energy models within the Randall-Sundrum brane framework, analyzing observational data to constrain model parameters and examining different energy density formulations related to the universe's horizon and expansion rate.

Contribution

It introduces and analyzes specific holographic dark energy models on the Randall-Sundrum brane, providing observational constraints and exploring their implications.

Findings

Upper limit on b4=b0/2bb from observational data

Constraints on model parameters based on current energy density and brane tension

Analysis of dark energy density forms involving horizon size and Hubble parameter

Abstract

The some models of holographic dark energy for Randall-Sandrum brane are considered. For first class of dark energy models we take energy density in form $\sim L^{2\gamma-4}$ where $L$ is size of events horizon in Universe and $\gamma$ is parameter (Tsallis holographic energy). Analysis of observational data allows to define upper limit on value of $\delta=\rho_{0}/2\lambda$ ($\rho_{0}$ is current energy density in the Universe and $\lambda$ is brane tension). Then we investigate models for which dark energy density has form $\rho_{de}=C^{2}L^{-2}-C_{1}^{2}H^{2}$ where $H$ is Hubble parameter.