Hawking–Page phase transition

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 (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 . At this temperature, there will be a first order phase transition where below , 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.
  2. ↑ 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. Bibcode:2019PhRvD.100l6020G. doi:10.1103/PhysRevD.100.126020.