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arxiv: gr-qc/9811004 · v1 · pith:4Z7Y56NSnew · submitted 1998-11-02 · 🌀 gr-qc

Angular momentum near the black hole threshold in scalar field collapse

D. Garfinkle , C. Gundlach , J. M. Martin-Garcia This is my paper
classification 🌀 gr-qc
keywords blackholeangularmomentumcalculatecollapsecriticalexponent
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For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold. We calculate the scaling law by second-order perturbation theory. We then use the numerical results of a previous first-order perturbative analysis to obtain the numerical value mu ~ 0.76 for the angular momentum critical exponent. A quasi-periodic fine structure is superimposed on the overall power law.

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