2009/04/14 by Thierry Daudé, François Nicoleau, Daudé, Thierry +1 · 1 citation
Mathematics · Physics and Astronomy · #81U40 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:81U40
paper · pdf · doi:10.48550/arxiv.0904.2064
44 pages
arxiv created 2009/04/14 · arxiv updated 2009/12/01
In this paper, we study the inverse scattering of massive charged Dirac fields in the exterior region of (de Sitter)-Reissner-Nordström black holes. First we obtain a precise high-energy asymptotic expansion of the diagonal elements of the scattering matrix (i.e. of the transmission coefficients) and we show that the leading terms of this expansion allows to recover uniquely the mass, the charge and the cosmological constant of the black hole. Second, in the case of nonzero cosmological constant, we show that the knowledge of the reflection coefficients of the scattering matrix on any interval of energy also permits to recover uniquely these parameters.