A new method to integrate (2+1)-wave equations with Dirac's delta functions as sources
| dc.creator | Lousto, Carlos O. | |
| dc.creator | Nakano, Hiroyuki | |
| dc.date | 2008-02-28 | |
| dc.date | 2008-04-21 | |
| dc.date.accessioned | 2026-07-07T11:40:33Z | |
| dc.date.available | 2026-07-07T11:40:33Z | |
| dc.description | Unlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background can not be decomposed into simple tensor harmonics in the time domain. Here, we make mode decompositions only in the azimuthal direction. As a first step, we discuss the resulting (2+1)-dimensional Klein-Gordon differential equation for scalar perturbations with a two dimensional Dirac's $δ$-function as a source representing a point particle orbiting a much larger black hole. To make this equation amenable for numerical integrations we explicitly remove analytically the singular behavior of the source and compute a global, well bahaved, effective source for the corresponding waveform. | |
| dc.description | 18 pages, 6 figures, Some comments added | |
| dc.identifier | https://arxiv.org/abs/0802.4277 | |
| dc.identifier | http://arxiv.org/abs/0802.4277 | |
| dc.identifier | Class.Quant.Grav.25:145018,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/14/145018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200286 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.title | A new method to integrate (2+1)-wave equations with Dirac's delta functions as sources | |
| dc.type | text |