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, http://projecteuclid.org/euclid.cmp/1103922135
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