Instability of the massive Klein-Gordon field on the Kerr spacetime
| dc.creator | Dolan, Sam R. | |
| dc.date | 2007-05-20 | |
| dc.date | 2007-06-05 | |
| dc.date.accessioned | 2026-07-07T10:55:42Z | |
| dc.date.available | 2026-07-07T10:55:42Z | |
| dc.description | We investigate the instability of the massive scalar field in the vicinity of a rotating black hole. The instability arises from amplification caused by the classical superradiance effect. The instability affects bound states: solutions to the massive Klein-Gordon equation which tend to zero at infinity. We calculate the spectrum of bound state frequencies on the Kerr background using a continued fraction method, adapted from studies of quasinormal modes. We demonstrate that the instability is most significant for the $l = 1$, $m = 1$ state, for $M μ\lesssim 0.5$. For a fast rotating hole ($a = 0.99$) we find a maximum growth rate of $τ^{-1} \approx 1.5 \times 10^{-7} (GM/c^3)^{-1}$, at $M μ\approx 0.42$. The physical implications are discussed. | |
| dc.description | Added references. 27 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0705.2880 | |
| dc.identifier | http://arxiv.org/abs/0705.2880 | |
| dc.identifier | Phys.Rev.D76:084001,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.084001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186164 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Instability of the massive Klein-Gordon field on the Kerr spacetime | |
| dc.type | text |