Scattering from charged black holes and supergravity
Lu\'is C. B. Crispino, Sam R. Dolan, Atsushi Higuchi, Ednilton S., de Oliveira
TL;DR
This paper demonstrates that for extreme Reissner-Nordström black holes, electromagnetic and gravitational wave scattering cross sections are equal, with numerical confirmation across various charge-to-mass ratios, highlighting a supersymmetric symmetry.
Contribution
It shows the equality of electromagnetic and gravitational scattering cross sections for extremal charged black holes using supergravity, supported by numerical analysis.
Findings
Electromagnetic and gravitational scattering cross sections are equal for extremal Reissner-Nordström black holes.
Conversion cross sections between electromagnetic and gravitational waves coincide.
Numerical results confirm the coincidence of cross sections across different charge-to-mass ratios.
Abstract
The scattering cross sections of the unpolarized electromagnetic and gravitational waves are shown to be equal for the extreme Reissner-Nordstr\"om black hole using supergravity. The conversion cross sections between the unpolarized electromagnetic and gravitational waves are also shown to coincide. The gravitational and electromagnetic scattering cross sections are computed numerically for Reissner-Nordstr\"om black holes for several charge-to-mass ratios and the coincidence between the two scattering cross sections for the extremal case is confirmed.
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