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

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arxiv gr-qc/9805050 v2 pith:G4WXEAKF submitted 1998-05-13 gr-qc math-phmath.MP

Felix Finster , Joel Smoller , Shing-Tung Yau This is my paper · ORCID
classification gr-qcmath-phmath.MP
keywords blackdiracholebackgroundequationsolutionsreissner-nordstromtime-periodic
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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.

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  1. Quasi-bound states and late-time evolution of a massive fermion around a Reissner-Nordstr\"{o}m black hole

    gr-qc 2026-07 accept novelty 6.0 of 10

    Matrix matching yields improved quasi-bound spectra (fine structure + decay widths) for a massive Dirac field on RN, and branch-cut analysis plus simulations reveal an intermediate oscillatory power law followed by a ...

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