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Dirty black holes: quasinormal modes

Dirty black holes: quasinormal modes

In this paper, we investigate the asymptotic nature of the quasinormal modes for 'dirty' black holes—generic static and spherically symmetric spacetimes for which a central black hole is surrounded by arbitrary 'matter' fields. We demonstrate that, to the leading asymptotic order, the (imaginary) spacing between modes is precisely equal to …