Adaptive Event Horizon Tracking and Critical Phenomena in Binary Black Hole Coalescence
arXiv:gr-qc/0303109 · doi:10.1103/PhysRevD.68.104003
Abstract
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.
13 pages, 20 figures Corrected labels on figures 17 through 20. Corrected typos in references. Added some comments
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