Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-03-27
Phys.Rev. D68 (2003) 104003
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, 20 figures Corrected labels on figures 17 through 20. Corrected typos in references. Added some comments
Scientific paper
10.1103/PhysRevD.68.104003
This work establishes critical phenomena in the topological transition of black hole coalescence. We describe and validate a computational front tracking event horizon solver, developed for generic studies of the black hole coalescence problem. We then apply this to the Kastor - Traschen axisymmetric analytic solution of the extremal Maxwell - Einstein black hole merger with cosmological constant. The surprising result of this computational analysis is a power law scaling of the minimal throat proportional to time. The minimal throat connecting the two holes obeys this power law during a short time immediately at the beginning of merger. We also confirm the behavior analytically. Thus, at least in one axisymmetric situation a critical phenomenon exists. We give arguments for a broader universality class than the restricted requirements of the Kastor - Traschen solution.
Caveny Scott A.
Matzner Richard A.
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