Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole

Dietrich Häfner (1) , Mokdad Mokdad (1) , Jean-Philippe Nicolas (2)

1 IF - Institut Fourier
2 LM - Laboratoire de mathématiques de Brest

We show asymptotic completeness for the massive charged Dirac equation between the black hole and Cauchy horizons of a sub-extremal [(anti-)de Sitter]–Reissner–Nordström black hole.

Mots clés: Scattering theory; Black hole interior; Reissner-Nordström metric; Dirac equation; black hole: Reissner-Nordstroem; field theory: Dirac; field theory: massive; scattering; anti-de Sitter; de Sitter; horizon; boundary condition; asymptotic behavior

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique mathématique [math-ph]

Dietrich Häfner, Mokdad Mokdad, Jean-Philippe Nicolas. Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole. J.Math.Phys., 2021, 62 (8), pp.081503. ⟨10.1063/5.0055920⟩. ⟨hal-02933908⟩