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The interaction of Dirac particles with non-abelian gauge fields and gravity-black holes

Felix Finster Joel Smoller Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43619

arXiv preprint gr-qc/9910047, 1999.10
We consider a static, spherically symmetric system of a Dirac particle in a classical gravitational and SU (2) Yang-Mills field. We prove that the only black-hole solutions of the corresponding Einstein-Dirac-Yang/Mills equations are the Bartnik-McKinnon black-hole solutions of the SU (2) Einstein-Yang/Mills equations; thus the spinors must vanish identically. This indicates that the Dirac particles must either disappear into the black-hole or escape to infinity.
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@inproceedings{felix1999the,
  title={The interaction of Dirac particles with non-abelian gauge fields and gravity-black holes},
  author={Felix Finster, Joel Smoller, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204503635446183},
  booktitle={arXiv preprint gr-qc/9910047},
  year={1999},
}
Felix Finster, Joel Smoller, and Shing-Tung Yau. The interaction of Dirac particles with non-abelian gauge fields and gravity-black holes. 1999. In arXiv preprint gr-qc/9910047. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204503635446183.
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