Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background

Abstract

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.

24 pages, 2 figures (published version)

References in corpus (2)

• Particle-Like Solutions of the Einstein-Dirac Equations
• Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations

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