Physics: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 [math]\displaystyle{ T_C }[/math]. At this temperature there will be a first order phase transition where below [math]\displaystyle{ T_C }[/math] thermal AdS will become the dominant contribution to the partition function.
References
- 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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