Hawking–Page phase transition

Short description: Thermal phase transition in AdS black holes

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In quantum gravity, the Hawking–Page phase transition is phase transition between AdS black holes with radiation and thermal AdS.

Stephen Hawking and Don Page ((Hawking Page)) 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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