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

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

2008-02-04

arxiv.org/abs/0802.0402v1

J. Phys. A: Math. Theor. 42 (2009) 295204

Physics

Mathematical Physics

Scientific paper

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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