The Lazarus project: A pragmatic approach to binary black hole evolutions
| dc.creator | Baker, J. | |
| dc.creator | Campanelli, M. | |
| dc.creator | Lousto, C. | |
| dc.date | 2001-04-19 | |
| dc.date | 2005-10-28 | |
| dc.date.accessioned | 2026-07-07T10:31:54Z | |
| dc.date.available | 2026-07-07T10:31:54Z | |
| dc.description | We present a detailed description of techniques developed to combine 3D numerical simulations and, subsequently, a single black hole close-limit approximation. This method has made it possible to compute the first complete waveforms covering the post-orbital dynamics of a binary black hole system with the numerical simulation covering the essential non-linear interaction before the close limit becomes applicable for the late time dynamics. To determine when close-limit perturbation theory is applicable we apply a combination of invariant a priori estimates and a posteriori consistency checks of the robustness of our results against exchange of linear and non-linear treatments near the interface. Once the numerically modeled binary system reaches a regime that can be treated as perturbations of the Kerr spacetime, we must approximately relate the numerical coordinates to the perturbative background coordinates. We also perform a rotation of a numerically defined tetrad to asymptotically reproduce the tetrad required in the perturbative treatment. We can then produce numerical Cauchy data for the close-limit evolution in the form of the Weyl scalar $ψ_4$ and its time derivative $\partial_tψ_4$ with both objects being first order coordinate and tetrad invariant. The Teukolsky equation in Boyer-Lindquist coordinates is adopted to further continue the evolution. To illustrate the application of these techniques we evolve a single Kerr hole and compute the spurious radiation as a measure of the error of the whole procedure. We also briefly discuss the extension of the project to make use of improved full numerical evolutions and outline the approach to a full understanding of astrophysical black hole binary systems which we can now pursue. | |
| dc.description | New typos found in the version appeared in PRD. (Mostly found and collected by Bernard Kelly) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0104063 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0104063 | |
| dc.identifier | Phys.Rev.D65:044001,2002 | |
| dc.identifier | doi:10.1103/PhysRevD.65.044001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/178579 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Lazarus project: A pragmatic approach to binary black hole evolutions | |
| dc.type | text |