Direct and Inverse Scattering at Fixed Energy for Massless Charged Dirac Fields by Kerr-Newman-de Sitter Black Holes.
Direct and Inverse Scattering at Fixed Energy for Massless Charged Dirac Fields by Kerr-Newman-de Sitter Black Holes
Thierry Daude and Francois Nicoleau
American Mathematical Society
Memoirs of the American Mathematical Society; Volume 247, Number 1170
Looking at fields that evolve in the exterior region of a Kerry-Newman-de Sitter black hole, Daude and Nicoleau begin by establishing the existence and asymptotic completeness of time-dependent wave operators associated the Dirac fields they study. This leads them to a definition of the time-dependent scattering operator that encodes the far-field behavior (with respect to a stationary observer) in the asymptotic regions of the black hole: the event and cosmological horizons. They also show how separating the Dirac equation into radial and angular ordinary differential equations makes the link between the time-dependent scattering operator and its stationary counterpart. ([umlaut] Ringgold, Inc., Portland, OR)