A model problem for quasinormal ringdown of asymptotically flat or extremal black holes
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Peer-reviewed
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Abstract
We consider a wave equation with a potential on the half-line as a model
problem for wave propagation close to an extremal horizon, or the
asymptotically flat end of a black hole spacetime. We propose a definition of
quasinormal frequencies (QNFs) as eigenvalues of the generator of time
translations for a null foliation, acting on an appropriate (Gevrey based)
Hilbert space. We show that this QNF spectrum is discrete in a subset of
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1089-7658