Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
arXiv:hep-th/0603200 · doi:10.1016/j.physletb.2006.12.059
Abstract
We study whether the Hawking-Page phase transition may occur in topological de Sitter spaces (TdS) and Schwarzschild-de Sitter black hole (SdS). We show that at the critical temperature , TdS with hyperbolic cosmological horizon can make the Hawking-Page transition from the zero mass de Sitter space to TdS. It is also shown that there is no Hawking-Page transition for TdS with Ricci-flat and spherical horizons, when the zero mass de Sitter space is taken as the thermal background. Also we find that the SdS undergoes a different phase transition at T=0 which the Nariai black hole is formed. Finally we connect our results to the dS/CFT correspondence.
arXiv comment17 pages, 9 eps figures, title slightly changed version to appear in PLB
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