Recovering the mass and the charge of a Reissner-Nordström black hole by an inverse scattering experiment
arXiv:0711.1228 · doi:10.1088/0266-5611/24/2/025017
Abstract
In this paper, we study inverse scattering of massless Dirac fields that propagate in the exterior region of a Reissner-Nordström black hole. Using a stationary approach we determine precisely the leading terms of the high-energy asymptotic expansion of the scattering matrix that, in turn, permit us to recover uniquely the mass of the black hole and its charge up to a sign.