How pure is the tail of gravitational collapse ?
| dc.creator | Hod, Shahar | |
| dc.date | 2009-02-02 | |
| dc.date.accessioned | 2026-07-07T13:03:36Z | |
| dc.date.available | 2026-07-07T13:03:36Z | |
| dc.description | Waves propagating in a curved spacetime develop tails. In particular, it is well established that the late-time dynamics of gravitational collapse is dominated by a power-law decaying tail of the form $Mt^{-(2l+3)}$, where $M$ is the black-hole mass. It should be emphasized, however, that in a typical evolution scenario there is a considerable time window in which the signal is no longer dominated by the black-hole quasinormal modes, but the leading order power-law tail has not yet taken over. Higher-order terms may have a considerable contribution to the signal at these intermediate times. It is therefore of interest to analyze these higher-order corrections to the leading-order power-law behavior. We show that the higher-order contamination terms die off at late times as $M^2t^{-4}\ln(t/M)$ for spherical perturbations, and as $M^2t^{-(2l+4)}\ln^2(t/M)$ for non-spherical $(l\neq0)$ perturbations. These results imply that the leading-order power-law tail becomes "pure" (namely, with less than 1% contamination) only at extremely late times of the order of $10^4M$. | |
| dc.description | 8 pages. This is an extended version of the one published in Class. Quantum Grav. 26 (2009) 028001 | |
| dc.identifier | https://arxiv.org/abs/0902.0237 | |
| dc.identifier | http://arxiv.org/abs/0902.0237 | |
| dc.identifier | Class.Quant.Grav.26:028001,2009 | |
| dc.identifier | doi:10.1088/0264-9381/26/2/028001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226859 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | How pure is the tail of gravitational collapse ? | |
| dc.type | text |