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

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.

12 pp., 5 figs., 3 tables, accepted in Int. J. Mod. Phys. D