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arXiv · 2101.04166

Conformal Scattering and the Goursat Problem for Dirac Fields in the Interior of Charged Spherically Symmetric Black Holes

Mokdad Mokdad
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Abstract

We construct a conformal scattering theory for Dirac fields in the interior of a Reissner-Nordstr\"om-like black hole, between the black hole event horizon and the Cauchy horizon. The main result is a resolution of the characteristic Cauchy problem for the Dirac equation on the horizons by solving a system of wave equations and re-interpreting its solution as the components of the required Dirac solution.

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Mokdad Mokdad. 2021-01-11. Conformal Scattering and the Goursat Problem for Dirac Fields in the Interior of Charged Spherically Symmetric Black Holes. https://doi.org/10.1142/s0129055x21500379

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