On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime

Abstract

The discrete spectrum of the Dirac operator for a point electron in the maximal analytically extended Kerr--Newman spacetime is determined in the zero-$G$ limit (z$G$KN), under some restrictions on the electrical coupling constant and on the radius of the ring-singularity of the z$G$KN spacetime. The spectrum is characterized by a triplet of integers, associated with winding numbers of orbits of dynamical systems on cylinders. A dictionary is established that relates the spectrum with the known hydrogenic Dirac spectrum. Numerical illustrations are presented. Open problems are listed.

62 pages, 13 figures

References in corpus (4)

• Zero mass limit of Kerr spacetime is a wormhole
• Spectral Analysis of Radial Dirac Operators in the Kerr-Newman Metric and its Applications to Time-periodic Solutions
• The Dirac propagator in the Kerr-Newman metric
• The Dirac point electron in zero-gravity Kerr--Newman spacetime

Cited by in corpus (2)

• Interacting Kerr-Newman Electromagnetic Fields
• On the discrete Dirac spectrum of general-relativistic hydrogenic ions with anomalous magnetic moment