Angular momentum near the black hole threshold in scalar field collapse

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.

7 pages, RevTex

References in corpus (3)

• Scaling of curvature in sub-critical gravitational collapse
• All nonspherical perturbations of the Choptuik spacetime decay
• Evolving the Bowen-York initial data for spinning black holes

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• Physical interpretation of gauge invariant perturbations of spherically symmetric space-times
• Instability of black hole formation under small pressure perturbations
• Critical gravitational collapse with angular momentum: from critical exponents to universal scaling functions
• Unveiling horizons in quantum critical collapse
• Critical Exponents For Schwarzschild-Kerr and BTZ Systems
• Black Hole Critical Phenomena Without Black Holes
• Universality of the subsolar mass distribution from critical gravitational collapse