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On the local energy decay of solutions of the Dirac equation in the non-extreme Kerr-Newman metric, I

Authors
  • Winklmeier, Monika
  • Yamada, Osanobu
Type
Published Article
Publication Date
Feb 04, 2008
Submission Date
Feb 04, 2008
Identifiers
arXiv ID: 0802.0402
Source
arXiv
License
Unknown
External links

Abstract

We investigate the local energy decay of solutions of the Dirac equation in the non-extreme Kerr-Newman metric. First, we write the Dirac equation as a Cauchy problem and define the Dirac operator. It is shown that the Dirac operator is selfadjoint in a suitable Hilbert space. With the RAGE theorem, we show that for each particle its energy located in any compact region outside of the event horizon of the Kerr-Newman black hole decays in the time mean.

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