Scattering and absorption of gravitational plane waves by rotating black holes

dc.creatorDolan, Sam R.
dc.date2008-01-24
dc.date2008-11-14
dc.date.accessioned2026-07-07T11:55:31Z
dc.date.available2026-07-07T11:55:31Z
dc.descriptionThis is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A catalogue of numerically-accurate cross sections is presented, for a range of incident wavelengths $Mω\le 4$ and rotation rates $a \le 0.999M$. Three effects are studied in detail: polarization, helicity-reversal and glory scattering. First, a new approximation to the polarization in the long-wavelength limit is derived. We show that black hole rotation distinguishes between co- and counter-rotating wave helicities, leading to a term in the cross section proportional to $aω$. Second, we confirm that helicity is not conserved by the scattering process, and show that superradiance amplifies the effect. For certain wavelengths, the back-scattered flux is enhanced by as much as $\sim 35$ times for a rapidly-rotating hole (e.g. for $a = 0.999M$ at $Mω= 0.945$). Third, we observe regular glory and spiral scattering peaks in the numerically-determined cross sections. We show that the angular width and intensity of the peaks may be estimated via a semi-classical approximation. We conclude with a discussion of the observable implications of our results.
dc.description43 pages, 17 figures. To match published version
dc.identifierhttps://arxiv.org/abs/0801.3805
dc.identifierhttp://arxiv.org/abs/0801.3805
dc.identifierClass.Quant.Grav.25:235002,2008
dc.identifierdoi:10.1088/0264-9381/25/23/235002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205272
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleScattering and absorption of gravitational plane waves by rotating black holes
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