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Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole

Yun Soo mYung
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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 $T=T_1$, 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.

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Yun Soo mYung. 2006-12-27. Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole. https://doi.org/10.1016/j.physletb.2006.12.059

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