Noncommutative fields in Reissner-Nordström black hole background

Fuente: arXiv
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Main Authors: Bežanić, Milorad, Ćirić, Marija Dimitrijević, Konjik, Nikola, Nikolić, Biljana, Samsarov, Andjelo
Format: Preprint
Published: 2025
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author Bežanić, Milorad
Ćirić, Marija Dimitrijević
Konjik, Nikola
Nikolić, Biljana
Samsarov, Andjelo
author_facet Bežanić, Milorad
Ćirić, Marija Dimitrijević
Konjik, Nikola
Nikolić, Biljana
Samsarov, Andjelo
contents In this short paper we discuss dynamics of noncommutative (NC) matter fields in the Reissner-Nordström (RN) black hole background. After reviewing the propagation of charged NC scalar and spinor fields, we derive the equation governing the propagation of NC electromagnetic (EM) perturbation in the RN background. The propagation of NC scalar and spinor perturbation have a dual description in terms of the propagation of commutative fields in the effective/dual metric. Finally, we turn to the gravitational perturbations. We present equations of motion for the NC gravitational field obtained in two different models: $SO(2,3)_\star$ NC gravity and braided NC gravity. Typically for NC gravity models, the first nontrivial corrections are quadratic in the NC parameter. The obtained NC gravity equations are the starting point to discuss the propagation of NC gravitational perturbations and the validity of the dual description in terms of the effective metric.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06181
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Noncommutative fields in Reissner-Nordström black hole background
Bežanić, Milorad
Ćirić, Marija Dimitrijević
Konjik, Nikola
Nikolić, Biljana
Samsarov, Andjelo
High Energy Physics - Theory
In this short paper we discuss dynamics of noncommutative (NC) matter fields in the Reissner-Nordström (RN) black hole background. After reviewing the propagation of charged NC scalar and spinor fields, we derive the equation governing the propagation of NC electromagnetic (EM) perturbation in the RN background. The propagation of NC scalar and spinor perturbation have a dual description in terms of the propagation of commutative fields in the effective/dual metric. Finally, we turn to the gravitational perturbations. We present equations of motion for the NC gravitational field obtained in two different models: $SO(2,3)_\star$ NC gravity and braided NC gravity. Typically for NC gravity models, the first nontrivial corrections are quadratic in the NC parameter. The obtained NC gravity equations are the starting point to discuss the propagation of NC gravitational perturbations and the validity of the dual description in terms of the effective metric.
title Noncommutative fields in Reissner-Nordström black hole background
topic High Energy Physics - Theory
url https://arxiv.org/abs/2505.06181