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Decay of massive scalar field in a Schwarzschild background

R. A. Konoplya·A. V. Zhidenko
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Abstract

The decay of massive scalar field in the Schwarzschild black hole background is investigated here by consideration its quasinormal spectrum. It has been proved that the so-called $quasi-resonant$ modes, which are arbitrary long living (purely real) modes, can exist only if the effective potential is not zero at least at one of the boundaries of the $R$-region. We have observed that the quasinormal spectrum exists for all field masses and proved both analytically and numerically that when $n \to \infty$ the real part of the frequencies approaches the same asymptotical value ($\ln3/(8πM)$) as in the case of the massless field.

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R. A. Konoplya, A. V. Zhidenko. 2005-02-06. Decay of massive scalar field in a Schwarzschild background. https://doi.org/10.1016/j.physletb.2005.01.078

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