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Some exact quasi-normal frequencies of a massless scalar field in the Schwarzschild space-time

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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.… Click to show full 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.

Keywords: massless scalar; field schwarzschild; exact quasi; scalar field; quasi normal

Journal Title: Physical Review D
Year Published: 2018

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