Corrections to Kerr-Newman black hole from noncommutative Einstein-Maxwell equation

Požar, filip (2025) Corrections to Kerr-Newman black hole from noncommutative Einstein-Maxwell equation. Physics Letters B, 868 . ISSN 03702693

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Abstract

In this letter we introduce the noncommutative geometry into the standard Einstein-Hilbert-Maxwell action via the Ad, Drinfeld twist and solve the equation of motion pertubatively in the expansion of the noncommutative parameter a. The equation of motion, the NC Einstein-Maxwell equation, turns out to be effectively a problem in nonlinear electrodynamics where the energy-momentum tensor T obtains correction terms with three Faraday tensors F. A solution with nonzero a' terms turns out to be the Kerr-Newman black hole modified with nonzero E-Er-r and Ege components proportional to a, while the electromagnetic potential is the Seiberg-Witten expanded Kerr-Newman potential which introduces a nonzero A, term proportional to a.

Item Type:	Article
Uncontrolled Keywords:	noncommutative geometry; Kerr Newman black hole
Subjects:	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:	02 Mar 2026 09:18
URI:	http://fulir.irb.hr/id/eprint/11291
DOI:	10.1016/j.physletb.2025.139751

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