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

TL;DR

This paper investigates the thermodynamic phase transition of charged flat black holes using Rényi statistics, revealing universal relations and bridging nonextensive parameters with cosmological constants.

Contribution

It uncovers universal properties of black hole thermodynamics beyond Gibbs-Boltzmann formalism, linking Rényi parameter to cosmological constant and identifying universal ratios.

Findings

Universal ratios involving horizon radius, Rényi temperature, and entropy.

Persistence of dual universal formulas at phase transition points.

Bridge between nonextensive Rényi parameter and cosmological constant.

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.