Monika Winklmeier and Osanobu Yamada 2009 J. Phys. A: Math. Theor. 42 295204 doi:10.1088/1751-8113/42/29/295204
Monika Winklmeier1 and Osanobu Yamada2
Show affiliationsWe 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 the event horizon of the Kerr–Newman black hole decays in the time mean.
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
Issue 29 (24 July 2009)
Received 21 January 2009, in final form 18 May 2009
Published 30 June 2009
Monika Winklmeier and Osanobu Yamada 2009 J. Phys. A: Math. Theor. 42 295204
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