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Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills Equations with complete fermion shells

Felix Finster Joel Smoller Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43596

arXiv preprint gr-qc/0005028, 2000.5
We study a static, spherically symmetric system of (2j+ 1) massive Dirac particles, each having angular momentum j, j= 1, 2,..., in a classical gravitational and SU (2) Yang-Mills field. We show that for any black hole solution of the associated Einstein-Dirac-Yang/Mills equations, the spinors must vanish identically outside of the event horizon.
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@inproceedings{felix2000absence,
  title={Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills Equations with complete fermion shells},
  author={Felix Finster, Joel Smoller, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204323916978160},
  booktitle={arXiv preprint gr-qc/0005028},
  year={2000},
}
Felix Finster, Joel Smoller, and Shing-Tung Yau. Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills Equations with complete fermion shells. 2000. In arXiv preprint gr-qc/0005028. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204323916978160.
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