https://doi.org/10.1140/epjp/s13360-025-06489-5
Regular Article
Quasinormal modes and greybody factor of charged black hole in non-commutative geometry
1
Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, 730000, Lanzhou, Gansu, China
2
Center for Gravitational Physics, Department of Space Science, Beihang University, 100191, Beijing, China
3
Center for Theoretical Physics and College of Physics, Jilin University, 130012, Changchun, China
Received:
27
December
2024
Accepted:
27
May
2025
Published online:
10
July
2025
In this article, the quasinormal modes and greybody factor of charged black hole in non-commutative geometry are studied. Under the assumption of a uniformly distributed charge within the matter, we obtain the metric for a charged black hole in non-commutative geometry. We calculated the wave function and obtained the effective potential of three different perturbed fields with spin. Then we applied 
-order WKB method to analyze the quasinormal modes of the black hole and derived quasinormal frequencies. Futhermore, we discussed the greybody factor in different perturbed fields under this spacetime. We found that the peak value of effective potential will increase with the increase of the charge of the black holes and the non-commutative parameter in Lorentzian distribution. And the non-commutative parameter in Gaussian distribution has almost no influence. Moreover, the variation trends of the real part and the absolute value of the imaginary part of QNFs, and the greybody factor are exactly same as the variation of the peak value of effective potential.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
