Accelerated expansion from cosmological holography

Abstract

It is shown that holographic cosmology implies an evolving Hubble radius $c^{-1}{\dot{R}}_H=-1+3{\Omega }_m$ in the presence of a dimensionless matter density ${\Omega }_m$ scaled to the closure density $3H^2/8\pi G$, where $c$ denotes the velocity of light and $H$ and $G$ denote the Hubble parameter and Newton's constant. It reveals a dynamical dark energy and a sixfold increase in gravitational attraction to matter on the scale of the Hubble acceleration. It reproduces the transition redshift $z_t\simeq 0.4$ to the present epoch of accelerated expansion and is consistent with $(q_0,(dq/dz{)}_0)$ of the deceleration parameter $q(z)=q_0+(dq/dz{)}_{0}z$ observed in Type Ia supernovae.

5 pages, 2 figures

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