Surface gravity analysis in Gauss-Bonnet and Barrow black holes

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 radiatio...

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Published inPhysics letters. B Vol. 861; p. 139236
Main Author Abreu, Everton M.C.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2025
Elsevier
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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.
AbstractList 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.
ArticleNumber 139236
Author Abreu, Everton M.C.
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  givenname: Everton M.C.
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  organization: Departamento de Física, Instituto de Ciências Exatas, Universidade Federal Rural do Rio de Janeiro, RJ, Brazil
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Keywords Black holes event horizon
Surface gravity
Barrow black hole entropy
Language English
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Snippet 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...
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SubjectTerms Barrow black hole entropy
Black holes event horizon
Surface gravity
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Title Surface gravity analysis in Gauss-Bonnet and Barrow black holes
URI https://dx.doi.org/10.1016/j.physletb.2024.139236
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