Cardy-Verlinde Formula and Asymptotically de Sitter Spaces

Details Cardy-Verlinde Formula and Asymptotically de Sitter Spaces Cardy-Verlinde Formula and Asymptotically de Sitter Spaces

2001-11-11

arxiv.org/abs/hep-th/0111093v2

Phys.Lett. B525 (2002) 331-336

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 12 pages, v2: references corrected

Scientific paper

10.1016/S0370-2693(01)01457-5

In this paper we discuss the question of whether the entropy of cosmological horizon in some asymptotically de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. For the Schwarzschild-de Sitter solution, although the gravitational mass is always negative (in the sense of the prescription in hep-th/0110108 to calculate the conserved charges of asymptotically de Sitter spaces), we find that indeed the entropy of cosmological horizon can be given by using naively the Cardy-Verlinde formula. The entropy of pure de Sitter spaces can also be expressed by the Cardy-Verlinde formula. For the topological de Sitter solutions, which have a cosmological horizon and a naked singularity, the Cardy-Verlinde formula also works well. Our result is in favour of the dS/CFT correspondence.

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