https://doi.org/10.1140/epjp/s13360-023-03978-3
Regular Article
Shadows and quasinormal modes of a charged non-commutative black hole by different methods
1
Department of Physics and Center for Field Theory and Particle Physics, Fudan University, 200433, Shanghai, China
2
College of Science, University of Shanghai for Science and Technology, 200093, Shanghai, China
3
Shanghai Advanced Research Institute, Chinese Academy of Sciences, 201210, Shanghai, China
Received:
22
June
2022
Accepted:
13
April
2023
Published online:
3
May
2023
In this paper, we calculated the quasinormal modes (QNMs) of a charged non-commutative black hole in scalar, electromagnetic and gravitational fields by three methods. We gave the influence of non-commutative parameter 
and charge Q on QNMs in different fields. Thereafter, we calculated the shadow radius of the black hole and provided the valid range of and Q using the constraints on the shadow radius of 
and 
from the event horizon telescope. In addition, we estimated the “relative deviation” of the shadow radius (
) between non-commutative space-time and commutative space-time. We found that the maximum values of decreases with the increase in charge Q. In other words, the non-commutativity of space-time becomes harder to distinguish as the charge of the black hole increases.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
