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Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background
Felix Finster, Joel Smoller, Shing-Tung Yau
Source abstract
It is shown analytically that the Dirac equation has no normalizable, time-periodic solutions in a Reissner–Nordström black hole background; in particular, there are no static solutions of the Dirac equation in such a background metric. The physical interpretation is that Dirac particles can either disappear into the black hole or escape to infinity, but they cannot stay on a periodic orbit around the black hole.
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