Hawking-Page phase transition

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In quantum gravity, the Hawking-Page phase transition (Hawking-Page 1983) showed that although AdS black holes can be in stable thermal equilibrium with radiation, they are not the preferred state below a certain critical temperature ${\displaystyle T_C}$. At this temperature there will be a first order phase transition where below ${\displaystyle T_C}$ thermal AdS will become the dominant contribution to the partition function.

• Hawking, Stephen; Page, Don (1983), "Thermodynamics of black holes in anti-de Sitter space", Communications in Mathematical Physics 87 (4): 577–588, doi:10.1007/BF01208266, Bibcode: 1982CMaPh..87..577H 

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