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arXiv · 2209.08195

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

Faical Barzi·Hasan El Moumni
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Abstract

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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Faical Barzi, Hasan El Moumni. 2022-09-16. On R\'enyi universality formula of charged flat black holes from Hawking-Page phase transition. https://doi.org/10.1016/j.physletb.2022.137378

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