Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background
Finster, Felix ; Smoller, Joel ; Yau, Shing-Tung
arXiv, 9805050 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-05-13
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{9805050,
     author = {Finster, Felix and Smoller, Joel and Yau, Shing-Tung},
     title = {Non-Existence of Time-Periodic Solutions of the Dirac Equation in a
  Reissner-Nordstrom Black Hole Background},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805050}
}

Finster, Felix; Smoller, Joel; Yau, Shing-Tung. Non-Existence of Time-Periodic Solutions of the Dirac Equation in a
  Reissner-Nordstrom Black Hole Background. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805050/