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Angular momentum near the black hole threshold in scalar field collapse

D. Garfinkle·C. Gundlach·J. M. Martin-Garcia
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Abstract

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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D. Garfinkle, C. Gundlach, J. M. Martin-Garcia. 1998-11-02. Angular momentum near the black hole threshold in scalar field collapse. https://doi.org/10.1103/physrevd.59.104012

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