Anomalous Fermion Production in Gravitational Collapse

Details Anomalous Fermion Production in Gravitational Collapse Anomalous Fermion Production in Gravitational Collapse

1993-05-24

arxiv.org/abs/gr-qc/9305018v1

Phys.Lett.B314:13-20,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, preprint DAMTP93/R14

Scientific paper

10.1016/0370-2693(93)91315-E

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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