A spectral approach to the Dirac equation in the non-extreme Kerr-Newmann metric
200915 pages
Published in:
- J.Phys.A 42 (2009) 295204
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Abstract: (IOP)
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 the event horizon of the Kerr-Newman black hole decays in the time mean.- 03.65.Nk
- 04.70.Bw
- 02.30.Sa
- operator: Dirac
- Dirac equation: solution
- Dirac equation: transformation
- energy: decay
- black hole: Kerr-Newman
- black hole: horizon
- boundary condition
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