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

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.

preprint2007arXivOpen access
Thierry DaudéFrançois Nicoleau
math-phmath.MP
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Thierry DaudéFrançois Nicoleau

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