Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-05-13
J.Math.Phys. 41 (2000) 2173-2194
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, 2 figures (published version)
Scientific paper
10.1063/1.533234
It is shown analytically that the Dirac equation has no normalizable, time-periodic solutions in a Reissner-Nordstrom black hole background; in particular, there are no static solutions of the Dirac equation in such a background field. 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.
Finster Felix
Smoller Joel
Yau Shing-Tung
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