Mass, Entropy and Holography in Asymptotically de Sitter Spaces

Preprint
Publisher Website
Google Scholar
  • 11 October 2001
Abstract
We propose a novel prescription for computing the boundary stress tensor and charges of asymptotically de Sitter (dS) spacetimes from data at early or late time infinity. If there is a holographic dual to dS spaces, defined analogously to the AdS/CFT correspondence, our methods compute the (Euclidean) stress tensor of the dual. We compute the masses of Schwarzschild-de Sitter black holes in four and five dimensions, and the masses and angular momenta of Kerr-de Sitter spaces in three dimensions. All these spaces are {\it less} massive than de Sitter, a fact which we use to qualitatively and quantitatively relate de Sitter entropy to the degeneracy of possible dual field theories. Our results in general dimension lead to a conjecture: {\it Any asymptotically de Sitter space spacetime with mass greater than de Sitter has a cosmological singularity}. Finally, if a dual to de Sitter exists, the trace of our stress tensor computes the RG equation of the dual field theory. Time evolution in a FRW-dS space corresponds to RG evolution in the dual. The RG evolution of the c function is then related to evolution in accessible degrees of freedom in an expanding universe.

This publication has 0 references indexed in Scilit: