Adaptive Event Horizon Tracking and Critical Phenomena in Binary Black Hole Coalescence

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 axisymmetri...

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Bibliographic Details
Published inarXiv.org
Main Authors Caveny, Scott A, Matzner, Richard A
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.04.2003
Subjects
Black holes
Coalescing
Computation
Cosmological constant
Critical phenomena
Event horizon
Exact solutions
Power law
Throats
Tracking
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0303109