## Abstract

Dirac's wave equation for a point electron in the topologically nontrivial maximal analytically extended electromagnetic Kerr-Newman spacetime is studied in a limit G → 0, where G is Newton's constant of universal gravitation. The following results are obtained: the formal Dirac Hamiltonian on the static spacelike slices is essentially self-adjoint and the spectrum of the self-adjoint extension is symmetric about zero, featuring a continuum with a gap about zero that, under two smallness conditions, contains a point spectrum. The symmetry result extends to the Dirac operator on a generalization of the zero-G Kerr-Newman spacetime with different electric-monopole/magnetic-dipole-moment ratios.

Original language | English (US) |
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Article number | 042303 |

Journal | Journal of Mathematical Physics |

Volume | 56 |

Issue number | 4 |

DOIs | |

State | Published - Apr 28 2015 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics