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Inferring black hole charge from backscattered electromagnetic radiation
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We compute the scattering cross section of Reissner-Nordstr\"om black holes for the case of an incident electromagnetic wave. We describe how scattering is affected by both the conversion of electromagnetic to gravitational radiation, and the parity-dependence of phase shifts induced by the black hole charge. The latter effect creates a helicity-reversed scattering amplitude that is non-zero in the backward direction. We show that from the character of the electromagnetic wave scattered in the backward direction it is possible, in principle, to infer if a static black hole is charged.
Forward citations
Cited by 2 Pith papers
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On-Shell Amplitudes and Black-Hole Perturbations: Exact Reissner-Nordstr\"om Mixing
Flat-space photon and graviton scattering off a heavy charged source reproduces the exact Moncrief mixing matrix that decouples Reissner-Nordstrom perturbations for every multipole ell >= 2.
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Black hole absorption cross sections: Spin and Regge poles
A unified oscillatory formula for Schwarzschild black hole absorption of massless scalar, electromagnetic, and gravitational fields, with spin-dependent phase corrections and a generalized sinc approximation.
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