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Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes

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In this paper, we construct a conformal scattering theory for Dirac fields in the interior of a Reissner–Nordström-like black hole, between the black hole event horizon and the Cauchy horizon.… Click to show full abstract

In this paper, we construct a conformal scattering theory for Dirac fields in the interior of a Reissner–Nordström-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.

Keywords: fields interior; conformal scattering; problem dirac; dirac fields; dirac

Journal Title: Reviews in Mathematical Physics
Year Published: 2022

Link to full text (if available)


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