Linearized Perturbations of a Black Hole: Continuum Spectrum
| dc.creator | Leung, P. T. | |
| dc.creator | Maassen_van_den_Brink, Alec | |
| dc.creator | Mak, K. W. | |
| dc.creator | Young, K. | |
| dc.date | 2003-07-07 | |
| dc.date | 2003-07-08 | |
| dc.date.accessioned | 2026-07-07T03:27:58Z | |
| dc.date.available | 2026-07-07T03:27:58Z | |
| dc.description | Linearized perturbations of a Schwarzschild black hole are described, for each angular momentum $\ell$, by the well-studied discrete quasinormal modes (QNMs), and in addition a continuum. The latter is characterized by a cut strength $q(γ>0)$ for frequencies $ω= -iγ$. We show that: (a) $q(γ\downarrow0) \propto γ$, (b) $q(Γ) = 0$ at $Γ= (\ell+2)!/[6(\ell-2)!]$, and (c) $q(γ)$ oscillates with period $\sim 1$ ($2M\equiv1$). For $\ell=2$, a pair of QNMs are found beyond the cut on the unphysical sheet very close to $Γ$, leading to a large dipole in the Green's function_near_ $Γ$. For a source near the horizon and a distant observer, the continuum contribution relative to that of the QNMs is small. | |
| dc.description | REVTeX4, 10pp., 10 EPS figure files. v2: corrected Ref. [28] | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0307024 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0307024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34644 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Linearized Perturbations of a Black Hole: Continuum Spectrum | |
| dc.type | text |