The entanglement entropy of Hawking radiation in non-extensive entropy-corrected Schwarzschild black holes grows linearly until an island forms and later saturates, with the Page time depending on the entropy deformation parameter.
Surface gravity analysis in Gauss-Bonnet and Barrow black holes
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abstract
We have different definitions of the surface gravity (SG) of a horizon since we can say we have distinct classifications of horizons. The SG has an underlying role in the laws of black hole (BH) thermodynamics, being constant in the event horizon. The SG also acts in the emission of Hawking radiation being connected to its temperature. Concerning this last issue, the quantum features that permeate Hawking radiation provide us a direct indication that a BH has its temperature directly connected to its area and that its entropy is proportional to the horizon area. In this work we analyzed some aspects of event horizons. Analyzing how the SG can be classically defined for stationary BHs together with the radial pressure computation. So, the SG, through the laws of BH mechanics is connected to the real thermodynamical temperature of a thermal spectrum. We discussed these subjects in two different BHs scenarios, the five dimensional Gauss-Bonnet one and the recently developed Barrow entropy construction. We discussed how the quantum fluctuations affect these both quantities.
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Effect of Non-Extensive Parameter on Page Curve
The entanglement entropy of Hawking radiation in non-extensive entropy-corrected Schwarzschild black holes grows linearly until an island forms and later saturates, with the Page time depending on the entropy deformation parameter.