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

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

2007-11-08

arxiv.org/abs/0711.1228v1

Physics

Mathematical Physics

Scientific paper

In this paper, we study inverse scattering of massless Dirac fields that
propagate in the exterior region of a Reissner-Nordstr\"om 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.

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