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On R\'enyi universality formula of charged flat black holes from Hawking-Page phase transition

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arxiv 2209.08195 v2 pith:4UY6ZIAO submitted 2022-09-16 hep-th gr-qc

On R\'enyi universality formula of charged flat black holes from Hawking-Page phase transition

classification hep-th gr-qc
keywords blackenyitransitionhawking-pageholesuniversalformulaphase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Probing the thermodynamic properties of the Hawking-Page phase transition of asymptotically-flat black holes in R\'enyi statistics. We reveal the evidence for the persisting of the dual universal formula associated with the Hawking-Page (HP) and minimum black hole thermodynamical transition points. Our study unveils the universal properties of the black holes in different statistics, in particular beyond the Gibbs-Boltzmann formalism, and motivates a further promising bridge between the nonextensivity R\'enyi parameter {\lambda} and the cosmological constant ? . Besides, we discover that universal ratios related to horizon radius, R\'enyi temperature, and entropy can be shown to appear in presence of such a transition.

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