Headon collision of two black holes: Comparison of different approaches
May, 1995
21 pages
Published in:
- Phys.Rev.D 52 (1995) 4462-4480
e-Print:
- gr-qc/9505042 [gr-qc]
Report number:
- CGPG-95-3-6
View in:
Citations per year
Abstract: (arXiv)
A benchmark problem for numerical relativity has been the head-on collision of two black holes starting from the ``Misner initial data,'' a closed form momentarily stationary solution to the constraint equations with an adjustable closeness parameter . We show here how an eclectic mixture of approximation methods can provide both an efficient means of determining the time development of the initial data and a good understanding of the physics of the problem. When the Misner data is chosen to correspond to holes initially very close together, a common horizon surrounds both holes and the geometry exterior to the horizon can be treated as a non-spherical perturbation of a single Schwarzschild hole. When the holes are initially well separated the problem can be treated with a different approximation scheme, ``the particle-membrane method.'' For all initial separations, numerical relativity is in principle applicable, but is costly and of uncertain accuracy. We present here a comparison of the different approaches. We compare waveforms, for and radiation, for different values of , from the three different approaches to the problem.References(15)
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