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Anomalous Fermion Production in Gravitational Collapse

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arxiv gr-qc/9305018 v1 pith:EQXQS4TN submitted 1993-05-24 gr-qc hep-th

classification gr-qchep-th
keywords fermionanomalouscollapseeithergravitationalnumbersolutionwill
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abstract

The Dirac equation is solved in the Einstein-Yang-Mills background found by Bartnik and McKinnon. We find a normalizable zero-energy fermion mode in the $s$-wave sector. As shown recently, their solution corresponds to a gravitational sphaleron which mediates transitions between topologically distinct vacua. Since the Bartnik-McKinnon solution is unstable, it will either collapse to form a black hole or radiate away its energy. In either case, as the Chern-Simons number of the configuration changes, there will be an accompanying anomalous change in fermion number.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quasinormal modes of a quantum inspired black hole in four dimensions with cosmological constant

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Quasinormal frequencies for scalar and Dirac perturbations of a Kazakov-Solodukhin-type quantum black hole with Lambda are computed by WKB and characteristic integration; all modes are stable and the quantum parameter...

  2. Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation

    gr-qc 2025-05 reject novelty 4.0 of 10

    The Kalb-Ramond black hole phenomenology is mostly an extension of known results, and its shadow formula is internally inconsistent, invalidating the EHT-based constraints.

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