Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordstrom black hole background

Authors
Finster, F Smoller, J Yau, ST
Citation
F. Finster et al., Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordstrom black hole background, J MATH PHYS, 41(4), 2000, pp. 2173-2194
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
4
Year of publication
2000
Pages
2173 - 2194
Database
ISI
SICI code
0022-2488(200004)41:4<2173:NOTSOT>2.0.ZU;2-0
Abstract
It is shown analytically that the Dirac equation has no normalizable, time- periodic solutions in a Reissner-Nordstrom black hole background; in partic ular, there are no static solutions of the Dirac equation in such a backgro und metric. The physical interpretation is that Dirac particles can either disappear into the black hole or escape to infinity, but they cannot stay o n a periodic orbit around the black hole. (C) 2000 American Institute of Ph ysics. [S0022-2488(00)01804-1].