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Article Dans Une Revue Physical Review D Année : 2022

Conversion of electromagnetic and gravitational waves by a charged black hole

Résumé

In a strong electromagnetic field, gravitational waves are converted into electromagnetic waves of the same frequency, and vice versa. Here we calculate the scattering and conversion cross sections for a planar wave impinging upon a Reissner-Nordstr\"om black hole in vacuum, using the partial-wave expansion and numerical methods. We show that, at long wavelengths, the conversion cross section matches that computed by Feynman-diagram techniques. At short wavelengths, the essential features are captured by a geometric-optics approximation. We demonstrate that the converted flux can exceed the scattered flux at large scattering angles, for highly-charged black holes. In the short-wavelength regime, the conversion effect may be understood in terms of a phase that accumulates along a ray. We compute the scattering angle for which the converted and scattered fluxes are equal, as a function of charge-to-mass ratio. We show that this scattering angle approaches $90$ degrees in the extremal limit.
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Dates et versions

hal-03332304 , version 1 (02-08-2022)

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Mohamed Ould El Hadj, Sam R Dolan. Conversion of electromagnetic and gravitational waves by a charged black hole. Physical Review D, 2022, 106 (4), pp.044002. ⟨10.1103/physrevd.106.044002⟩. ⟨hal-03332304⟩
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