Selection Rules for Black-Hole Quantum Transitions

Abstract

We suggest that quantum transitions of black holes comply with selection rules, analogous to those of atomic spectroscopy. In order to identify such rules, we apply Bohr's correspondence principle to the quasinormal ringing frequencies of black holes. In this context, classical ringing frequencies with an asymptotically vanishing real part ω_R correspond to virtual quanta, and may thus be interpreted as forbidden quantum transitions. With this motivation, we calculate the quasinormal spectrum of neutrino fields in spherically symmetric black-hole spacetimes. It is shown that ω_R->0 for these resonances, suggesting that the corresponding fermionic transitions are quantum mechanically forbidden.

arXiv comment4 pages, 2 figures

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Cited by in corpus (4)

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• Slowly decaying resonances of charged massive scalar fields in the Reissner-Nordström black-hole spacetime
• Differential Galois groups of high order Fuchsian ODE's