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Abstract
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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Details
1 Universidade Federal da Paraíba, Departamento de Física, João Pessoa, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145)
2 Universidade Federal de Campina Grande, Departamento de Física, Campina Grande, Brazil (GRID:grid.411182.f) (ISNI:0000 0001 0169 5930)
3 Universidade Federal da Paraíba, Departamento de Física, João Pessoa, Brazil (GRID:grid.411216.1) (ISNI:0000 0004 0397 5145); Universidade Federal de Campina Grande, Departamento de Física, Campina Grande, Brazil (GRID:grid.411182.f) (ISNI:0000 0001 0169 5930)