Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime

D. Batic; M. Nowakowski; K. Redway

doi:10.1103/PhysRevD.98.024017

Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime

D. Batic, M. Nowakowski, K. Redway

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We show that not all quasinormal modes of a massless scalar field in the Schwarzschild metric are encoded in the corresponding characteristic equation expressed by means of a continued fraction. We provide an analytical formula for these new hitherto missing quasinormal modes, and in doing that we also construct a generalization of the Gauss convergence criterion.

Original language	British English
Article number	024017
Journal	Physical Review D
Volume	98
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.98.024017
State	Published - 15 Jul 2018

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10.1103/PhysRevD.98.024017

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abstract = "We show that not all quasinormal modes of a massless scalar field in the Schwarzschild metric are encoded in the corresponding characteristic equation expressed by means of a continued fraction. We provide an analytical formula for these new hitherto missing quasinormal modes, and in doing that we also construct a generalization of the Gauss convergence criterion.",

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AU - Nowakowski, M.

AU - Redway, K.

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AB - We show that not all quasinormal modes of a massless scalar field in the Schwarzschild metric are encoded in the corresponding characteristic equation expressed by means of a continued fraction. We provide an analytical formula for these new hitherto missing quasinormal modes, and in doing that we also construct a generalization of the Gauss convergence criterion.

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Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime

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