Entropy of black holes, charged probes and noncommutative generalization

Hrelja, Axel; Jurić, Tajron; Požar, filip (2025) Entropy of black holes, charged probes and noncommutative generalization. The European Physical Journal Plus, 140 (5). ISSN 2190-5444

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Abstract

The brick wall model is a semi-classical approach to understanding the microscopic origin of black hole entropy. We outline the formalism for the brick wall model in arbitrary number of dimensions and generalize it to include both charged spacetimes and charged probes in order to systematically show how to calculate the entropy for any black hole, in higher orders of the WKB approximation. We calculate the entropy for the Reissner-Nordstr & ouml;m and charged BTZ black holes, and by looking at the chargeless limits, we recover the entropy of the Schwarzschild and neutral BTZ black holes. We also study noncommutative corrections to the black hole entropy by using a Drinfeld twist to deform spacetime symmetries. Using the noncommutative action for a charged scalar field, we derive the noncommutative Klein-Gordon equation and the radial equation in arbitrary dimension on which we generalize the brick wall method. We study case by case the noncommutative Reissner-Nordstr & ouml;m and noncommutative charged BTZ black holes, the entropy of which we calculate using the generalized brick wall method. Corrections due to higher order in the WKB approximation arise, and they are given by the logarithms of the black hole area. The corrections in the lowest order of WKB due to noncommutativity are also given by the logarithms of the black hole area.

Item Type:	Article
Uncontrolled Keywords:	black hole; entropy; noncommutative geometry
Subjects:	NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zraka-QBHQNMGRB Anđelo Samsarov; Ivica Smolić; Marija Dimitrijević-Ćirić; Salvatore Mignemi; Kumar Shankar Gupta; Nikola Konjik IP-2020-02-9614 HRZZ
Depositing User:	Ema Buhin Šaler
Date Deposited:	04 Mar 2026 11:57
URI:	http://fulir.irb.hr/id/eprint/11311
DOI:	10.1140/epjp/s13360-025-06306-z

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