AT2 - The Einstein-Infeld-Hoffmann Legacy in Mathematical Relativity |
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Speaker |
Winklmeier, Monika |
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Coauthors |
Yamada, Osanobu |
| Talk Title |
On the selfadjointness of the Dirac-Kerr-Newman equation |
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Abstract |
We investigate the local energy decay of solutions of the Dirac equation in the non-extreme Kerr–Newman metric. We write the Dirac equation as a Cauchy problem and show 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. |
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