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The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry

Felix Finster Niky Kamran Joel Smoller Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43527

Advances in Theoretical and Mathematical Physics, 7, (1), 25-52, 2003
We consider the Cauchy problem for the massive Dirac equation in the non-extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise in Chandrasekhar's separation of variables. It is proved that for initial data in L infinity loc near the event horizon with L 2 decay at infinity, the probability of the Dirac particle to be in any compact region of space tends to zero as t goes to infinity. This means that the Dirac particle must either disappear in the black hole or escape to infinity.
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@inproceedings{felix2003the,
  title={The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry},
  author={Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203826950919091},
  booktitle={Advances in Theoretical and Mathematical Physics},
  volume={7},
  number={1},
  pages={25-52},
  year={2003},
}
Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau. The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry. 2003. Vol. 7. In Advances in Theoretical and Mathematical Physics. pp.25-52. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203826950919091.
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