Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes
Résumé
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.
Mots clés
Conformal scattering theory
black hole interior
Reissner–Nordström metric
Goursat problem
dirac equation
Conformal Scattering theory
Black hole interior
Reissner-Nordström metric
Goursat Problem
Dirac equation
field theory: Dirac
black hole: charge
symmetry: rotation
scattering
conformal
horizon
Reissner-Nordstroem
boundary condition
resolution