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.[1]

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 TC. At this temperature, there will be a first order phase transition where below TC, 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.[2]

## References

1. ↑ Barzi, F.; El Moumni, H.; Masmar, K. (2024-06-01). "Rényi topology of charged-flat black hole: Hawking-Page and Van-der-Waals phase transitions". Journal of High Energy Astrophysics 42: 63–86. doi:10.1016/j.jheap.2024.03.005. ISSN 2214-4048. https://www.sciencedirect.com/science/article/pii/S2214404824000223.
2. ↑ Ghosh, Aritra; Bhamidipati, Chandrasekhar (2019-12-19). "Contact geometry and thermodynamics of black holes in AdS spacetimes". Physical Review D 100 (12). doi:10.1103/PhysRevD.100.126020. Bibcode: 2019PhRvD.100l6020G. https://link.aps.org/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, doi:10.1007/BF01208266, Bibcode: 1982CMaPh..87..577H, http://projecteuclid.org/euclid.cmp/1103922135

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