# 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 ${\displaystyle T_{C}}$. 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.