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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 (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.

The Hawking-Page phase transition between the unstable small black hole to stable large black hole phase is understood as a confinement-deconfinement phase transition in the dual conformal field theory via AdS/CFT correspondence.

References

1. Ghosh, Aritra; Bhamidipati, Chandrasekhar (2019-12-19). "Contact geometry and thermodynamics of black holes in AdS spacetimes". Physical Review D. 100 (12): 126020. arXiv:1909.11506. doi:10.1103/PhysRevD.100.126020.

• Hawking, Stephen; Page, Don (1983), "Thermodynamics of black holes in anti-de Sitter space", Communications in Mathematical Physics, 87 (4): 577–588, Bibcode:1982CMaPh..87..577H, doi:10.1007/BF01208266, S2CID 53516597

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