Quasinormal modes and shadow of noncommutative black hole

In this paper we investigate quasinormal modes (QNM) for a scalar field around a noncommutative Schwarzschild black hole. We verify the effect of noncommutativity on quasinormal frequencies by applying two procedures widely used in the literature. The first is the Wentzel–Kramers–Brillouin (WKB) app...

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Published inScientific reports Vol. 12; no. 1; pp. 8516 - 16
Main Authors Campos, J. A. V., Anacleto, M. A., Brito, F. A., Passos, E.
Format Journal Article
LanguageEnglish
Published London Nature Publishing Group UK 20.05.2022
Nature Publishing Group
Nature Portfolio
Subjects
639/33/34/4123
639/766/34
Approximation
Black holes
Gravitational waves
Humanities and Social Sciences
Investigations
multidisciplinary
Numerical analysis
Science
Science (multidisciplinary)
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ISSN2045-2322
2045-2322
DOI10.1038/s41598-022-12343-w

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Summary:In this paper we investigate quasinormal modes (QNM) for a scalar field around a noncommutative Schwarzschild black hole. We verify the effect of noncommutativity on quasinormal frequencies by applying two procedures widely used in the literature. The first is the Wentzel–Kramers–Brillouin (WKB) approximation up to sixth order. In the second case we use the continuous fraction method developed by Leaver. Besides, we also show that due to noncommutativity, the shadow radius is reduced when we increase the noncommutative parameter. In addition, we find that the shadow radius is nonzero even at the zero mass limit for finite noncommutative parameter.
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-022-12343-w