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

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 نشر من قبل Monika Winklmeier
 تاريخ النشر 2008
  مجال البحث فيزياء
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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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