Scattering of Dirac fields in the interior of Kerr-Newman(-Anti)-de Sitter black holes via comparison and symmetry operators
Year: 2025
Type: article
Abstract: In this paper we construct a scattering theory for the massive and charged Dirac fields in the interiors of sub-extremal Kerr-Newman(-anti)-de Sitter black holes. More precisely, we show existence, uniqueness and asymptotic completeness of scattering data for such Dirac fields from the event horizon of the black hole to the Cauchy horizon. Our approach relies on constructing the wave operators where the Hamiltonian of the full dynamics is time-dependent. To prove asymptotic completeness, we use two methods. The first involves a comparison operator, while for the second we introduce and employ a symmetry operator of the Dirac equation.
Authors: Mokdad Mokdad, Milos Provci
Institutions: Institut Fourier, Université Grenoble Alpes, University of Münster
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415440294