Polarization of Long-Wavelength Gravitational Waves by Rotating Black Holes
| dc.creator | Dolan, Sam R. | |
| dc.date | 2008-05-08 | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:17:52Z | |
| dc.date.available | 2026-07-07T10:17:52Z | |
| dc.description | The scattering cross section for a long-wavelength planar gravitational wave impinging upon a rotating black hole is calculated, for the special case in which the direction of incidence is aligned with the rotation axis. We show that black hole rotation leads to a term in the cross section that is proportional to $aω$. Hence, contrary to some claims, co-rotating and counter-rotating helicities are scattered differently, and a partial polarization is induced in an unpolarized incident wave. The scattering amplitudes are found via partial wave series. To compute the series, two ingredients are required: phase shifts and spin-weighted spheroidal harmonics. We show that the phase shifts may be found from low-frequency solutions of the radial Teukolsky equation derived by Mano, Suzuki and Takasugi. The spheroidal harmonics may be expanded in spherical harmonics; we present expansions accurate to second order in $a ω$. The two ingredients are combined to give explicit expressions for the helicity-conserving and helicity-reversing amplitudes, valid in the long-wavelength limit. | |
| dc.description | 12 pages, no figures. Now incorporated into arXiv:0801.3805 and journal article Class. Quantum Grav. 25 (2008) 235002 | |
| dc.identifier | https://arxiv.org/abs/0805.1236 | |
| dc.identifier | http://arxiv.org/abs/0805.1236 | |
| dc.identifier | Class. Quantum Grav. 25 (2008) 235002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174002 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Polarization of Long-Wavelength Gravitational Waves by Rotating Black Holes | |
| dc.type | text |