Recovering the mass and the charge of a Reissner-Nordström black hole by an inverse scattering experiment

Thierry Daudé (1) , François Nicoleau (2)

1 Department of Mathematics and Statistics [Montréal]
2 LMJL - Laboratoire de Mathématiques Jean Leray

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.

Mots clés: black hole; Dirac equation; inverse scattering

Domaines: Physique mathématique [math-ph]

Thierry Daudé, François Nicoleau. Recovering the mass and the charge of a Reissner-Nordström black hole by an inverse scattering experiment. Inverse Problems, 2008, 24 (2). ⟨hal-00186150⟩