Initial data for black hole evolutions
| dc.creator | Pfeiffer, Harald P. | |
| dc.date | 2005-10-04 | |
| dc.date.accessioned | 2026-07-07T06:20:46Z | |
| dc.date.available | 2026-07-07T06:20:46Z | |
| dc.description | We discuss the initial value problem of general relativity in its recently unified Lagrangian and Hamiltonian pictures and present a multi-domain pseudo-spectral collocation method to solve the resulting coupled nonlinear partial differential equations. Using this code, we explore several approaches to construct initial data sets containing one or two black holes: We compute quasi-circular orbits for spinning equal mass black holes and unequal mass (nonspinning) black holes using the effective potential method with Bowen-York extrinsic curvature. We compare initial data sets resulting from different decompositions, and from different choices of the conformal metric with each other. Furthermore, we use the quasi-equilibrium method to construct initial data for single black holes and for binary black holes in quasi-circular orbits. We investigate these binary black hole data sets and examine the limits of large mass-ratio and wide separation. Finally, we propose a new method for constructing spacetimes with superposed gravitational waves of possibly very large amplitude. | |
| dc.description | Ph.D. thesis, Cornell University, 2003 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0510016 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0510016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95407 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Initial data for black hole evolutions | |
| dc.type | text |