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Universe 2017, 3(1), 14; doi:10.3390/universe3010014

A Zeroth Law Compatible Model to Kerr Black Hole Thermodynamics

1
Multidisciplinary Center for Astrophysics & Department of Physics, Instituto Superior Técnico, University of Lisbon, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
2
HAS Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary
3
Laboratory of Physics, College of Science and Technology, Nihon University, 274-8501 Narashinodai, Funabashi, Chiba, Japan
*
Author to whom correspondence should be addressed.
Academic Editor: Gonzalo J. Olmo
Received: 17 December 2016 / Revised: 6 February 2017 / Accepted: 14 February 2017 / Published: 16 February 2017
(This article belongs to the Collection Open Questions in Black Hole Physics)
View Full-Text   |   Download PDF [295 KB, uploaded 16 February 2017]   |  

Abstract

We consider the thermodynamic and stability problem of Kerr black holes arising from the nonextensive/nonadditive nature of the Bekenstein–Hawking entropy formula. Nonadditive thermodynamics is often criticized by asserting that the zeroth law cannot be compatible with nonadditive composition rules, so in this work we follow the so-called formal logarithm method to derive an additive entropy function for Kerr black holes also satisfying the zeroth law’s requirement. Starting from the most general, equilibrium compatible, nonadditive entropy composition rule of Abe, we consider the simplest non-parametric approach that is generated by the explicit nonadditive form of the Bekenstein–Hawking formula. This analysis extends our previous results on the Schwarzschild case, and shows that the zeroth law-compatible temperature function in the model is independent of the mass–energy parameter of the black hole. By applying the Poincaré turning point method, we also study the thermodynamic stability problem in the system. View Full-Text
Keywords: black holes; entropy; nonextensive thermodynamics; stability black holes; entropy; nonextensive thermodynamics; stability
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Czinner, V.G.; Iguchi, H. A Zeroth Law Compatible Model to Kerr Black Hole Thermodynamics. Universe 2017, 3, 14.

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