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arXiv · 1503.00281

Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordstr\"om black hole

Alexei Iantchenko
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Abstract

We give an expansion of the solution of the evolution equation for the massless Dirac fields in the outer region of de Sitter-Reissner-Nordstr\"om black hole in terms of resonances. By means of this method we describe the decay of local energy for compactly supported data. The proof uses the cut-off resolvent estimates for the semi-classical Schr\"odinger operators from Bony and H\"afner, 2008. The method extends to the Dirac operators on spherically symmetric asymptotically hyperbolic manifolds.

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Alexei Iantchenko. 2015-03-01. Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordstr\"om black hole. https://arxiv.org/abs/1503.00281

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