The 3D Grazing Collision of Two Black Holes
arXiv:gr-qc/0012079 · doi:10.1103/PhysRevLett.87.271103
Abstract
We present results for two colliding black holes (BHs), with angular momentum, spin, and unequal mass. For the first time gravitational waveforms are computed for a grazing collision from a full 3D numerical evolution. The collision can be followed through the merger to form a single BH, and through part of the ringdown period of the final BH. The apparent horizon is tracked and studied, and physical parameters, such as the mass of the final BH, are computed. The total energy radiated in gravitational waves is shown to be consistent with the total mass of the spacetime and the final BH mass. The implication of these simulations for gravitational wave astronomy is discussed.
4 pages, 7 figures, revtex
References in corpus (21)
- On the Numerical Integration of Einstein's Field Equations
- Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
- A simple construction of initial data for multiple black holes
- The Collision of Two Black Holes
- Gravitational wave astronomy
- Towards a Singularity-Proof Scheme in Numerical Relativity
- Simple excision of a black hole in 3+1 numerical relativity
- Three dimensional numerical relativity: the evolution of black holes
- Boosted three-dimensional black-hole evolutions with singularity excision
- Binary Black Hole Mergers in 3d Numerical Relativity
- Grazing Collisions of Black Holes via the Excision of Singularities
- Plunge waveforms from inspiralling binary black holes
- Stable characteristic evolution of generic 3-dimensional single-black-hole spacetimes
- The Evolution of Distorted Rotating Black Holes II: Dynamics and Analysis
- Gravitational waves from black hole collisions via an eclectic approach
- Dynamics of Apparent and Event Horizons
- Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity
- Test-beds and applications for apparent horizon finders in numerical relativity
- Inspiralling black holes: the close limit
- Close limit of grazing black hole collisions: non-spinning holes
- Numerical Relativity in 3+1 Dimensions
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- Geometry and Regularity of Moving Punctures
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- Comparison of filters for detecting gravitational wave bursts in interferometric detectors
- Spherical excision for moving black holes and summation by parts for axisymmetric systems
- Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector
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- Towards a wave-extraction method for numerical relativity: IV. Testing the quasi-Kinnersley method in the Bondi-Sachs framework
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