Noncommutative Reissner–Nordström black hole from noncommutative charged scalar field

Dimitrijević Ćirić, Marija; Konjik, Nikola; Jurić, Tajron; Samsarov, Anđelo; Smolić, Ivica (2024) Noncommutative Reissner–Nordström black hole from noncommutative charged scalar field. Symmetry, 17 (1). ISSN 2073-8994

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Abstract

Within the framework of noncommutative (NC) deformation of gauge field theory by the angular twist, we first rederive the NC scalar and gauge field model from our previous papers, and then generalize it to the second order in the Seiberg-Witten (SW) map. It turns out that SW expansion is finite and that it ceases at the second order in the deformation parameter, ultimately giving rise to the equation of motion for the scalar field in the Reissner-Nordstr & ouml;m (RN) metric that is nonperturbative and exact at the same order. As a further step, we show that the effective metric put forth and constructed in our previous work satisfies the equations of Einstein-Maxwell gravity, but only within the first order of deformation and when the gauge field is fixed by the Coulomb potential of the charged black hole. Thus, the obtained NC deformation of the Reissner-Nordstr & ouml;m (RN) metric appears to have an additional off-diagonal element which scales linearly with a deformation parameter. We analyze various properties of this metric.

Item Type:	Article
Uncontrolled Keywords:	noncommutative spaces; angular twist; black hole; effective metric
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:	Martina Žugaj
Date Deposited:	18 Apr 2025 08:20
URI:	http://fulir.irb.hr/id/eprint/9717
DOI:	10.3390/sym17010054

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