Collisions of boosted black holes: perturbation theory prediction of gravitational radiation
arXiv:gr-qc/9405051 · doi:10.1103/PhysRevD.50.R2364
Abstract
We consider general relativistic Cauchy data representing two nonspinning, equal-mass black holes boosted toward each other. When the black holes are close enough to each other and their momentum is sufficiently high, an encompassing apparent horizon is present so the system can be viewed as a single, perturbed black hole. We employ gauge-invariant perturbation theory, and integrate the Zerilli equation to analyze these time-asymmetric data sets and compute gravitational wave forms and emitted energies. When coupled with a simple Newtonian analysis of the infall trajectory, we find striking agreement between the perturbation calculation of emitted energies and the results of fully general relativistic numerical simulations of time-symmetric initial data.
5 pages (RevTex 3.0 with 3 uuencoded figures), CRSR-1071
References in corpus (3)
Cited by in corpus (22)
- Quasi-Normal Modes of Stars and Black Holes
- On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
- Inspiral, merger and ring-down of equal-mass black-hole binaries
- Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
- Extraction of Gravitational Waves in Numerical Relativity
- Gravitational wave extraction and outer boundary conditions by perturbative matching
- Dynamics of galaxy cores and supermassive black holes
- The collision of boosted black holes
- Applying black hole perturbation theory to numerically generated spacetimes
- Understanding initial data for black hole collisions
- Cauchy-perturbative matching and outer boundary conditions: computational studies
- Black hole head-on collisions and gravitational waves with fixed mesh-refinement and dynamic singularity excision
- Black hole collisions from Brill-Lindquist initial data: predictions of perturbation theory
- Head-on collision of unequal mass black holes: close-limit predictions
- Close-limit analysis for head-on collision of two black holes in higher dimensions: Brill-Lindquist initial data
- Calculation of gravitational wave forms from black hole collisions and disk collapse: Applying perturbation theory to numerical spacetimes
- Improved initial data for black hole collisions
- Embedding initial data for black hole collisions
- Waveform propagation in black hole spacetimes: evaluating the quality of numerical solutions
- The two-phase approximation for black hole collisions: Is it robust?
- Perturbations of Black Holes Surrounded by Anisotropic Matter Field
- Two Kerr black holes with axisymmetric spins: An improved Newtonian model for the head-on collision and gravitational radiation