Hadj, M.O.E. orcid.org/0000-0002-8558-7992 and Dolan, S.R. orcid.org/0000-0002-4672-6523 (2022) Conversion of electromagnetic and gravitational waves by a charged black hole. Physical Review D (particles, fields, gravitation, and cosmology), 106 (4). 044002. ISSN 2470-0010
Abstract
In a strong electromagnetic field, gravitational waves are converted into electromagnetic waves of the same frequency, and vice versa. Here, we calculate scattering and conversion cross sections for a planar wave impinging upon a Reissner-Nordström black hole in electrovacuum, 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, and 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 conversion 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; and we show that this scattering angle approaches 90° in the extremal limit.
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Copyright, Publisher and Additional Information: | © 2022 American Physical Society. This is an author-produced version of a paper subsequently published in Physical Review D. Uploaded in accordance with the publisher's self-archiving policy. | ||||||
Keywords: | Particle and High Energy Physics; Physical Sciences; Gravitational waves; Electromagnetic interactions | ||||||
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Institution: | The University of Sheffield | ||||||
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) | ||||||
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Depositing User: | Symplectic Sheffield | ||||||
Date Deposited: | 26 Jan 2024 09:16 | ||||||
Last Modified: | 26 Jan 2024 12:44 | ||||||
Status: | Published | ||||||
Publisher: | American Physical Society (APS) | ||||||
Refereed: | Yes | ||||||
Identification Number: | https://doi.org/10.1103/physrevd.106.044002 | ||||||
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