Selection Rules for Black-Hole Quantum Transitions

Details Selection Rules for Black-Hole Quantum Transitions Selection Rules for Black-Hole Quantum Transitions

2005-06-25

arxiv.org/abs/hep-th/0506214v1

Phys.Rev. D73 (2006) 024003

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 2 figures

Scientific paper

10.1103/PhysRevD.73.024003

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 \omega_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 \omega_R->0 for these resonances, suggesting that the corresponding fermionic transitions are quantum mechanically forbidden.

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