Quasinormal modes and shadow of noncommutative black hole
J. A. V. CamposDepartamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, 58051-970, BrazilM. A. AnacletoDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, Campina Grande, Paraíba, 58429-900, BrazilF. A. BritoDepartamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, 58051-970, Brazil. [email protected]E. PassosDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, Campina Grande, Paraíba, 58429-900, Brazil
2022en
ABI
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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Cited by 20 references