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Critical Behaviour in Gravitational Collapse of a Yang-Mills Field

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arxiv gr-qc/9603051 v1 pith:TU6FI7MH submitted 1996-03-27 gr-qc hep-th

Matthew W. Choptuik , Tadeusz Chmaj , Piotr Bizon This is my paper · ORCID
classification gr-qchep-th
keywords criticalblackbehaviourcollapsefieldformationholemass
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We present results from a numerical study of spherically-symmetric collapse of a self-gravitating, SU(2) gauge field. Two distinct critical solutions are observed at the threshold of black hole formation. In one case the critical solution is discretely self-similar and black holes of arbitrarily small mass can form. However, in the other instance the critical solution is the n=1 static Bartnik-Mckinnon sphaleron, and black hole formation turns on at finite mass. The transition between these two scenarios is characterized by the superposition of both types of critical behaviour.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 146 citations worldwide. Full citation record

  1. Nonlinear Dynamics near the Threshold of Gravitational Collapse

    gr-qc 2026-07 conditional novelty 7.0 of 10

    Perturbation theory around flat space fails before black hole formation once peak luminosity exceeds ~10^-2 L_Planck; near criticality the spectrum flattens to 1/ω, matching the prediction from discrete self-similarity.

  2. Gravitational collapse in the vicinity of the extremal black hole critical point

    gr-qc 2025-11 unverdicted novelty 7.0 of 10

    Numerical solutions reveal that the threshold of black hole formation in charged Vlasov matter shifts from stationary horizonless shells to extremal black holes past a critical charge-to-mass ratio of unity.

  3. Unveiling horizons in quantum critical collapse

    gr-qc 2025-09 unverdicted novelty 7.0 of 10

    Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.

  4. Self-similar collapse with elasticity

    gr-qc 2025-09 conditional novelty 6.0 of 10

    Continuous self-similar collapse solutions exist for a scale-invariant elastic matter model, and regularity imposes bounds on the elasticity parameters.

  5. Quantum Critical Collapse Abhors a Naked Singularity

    gr-qc 2025-09 unverdicted novelty 6.0 of 10

    One-loop quantum vacuum polarization in Einstein-scalar critical collapse generates a horizon and finite mass gap, enforcing black hole formation even under arbitrary fine-tuning.

  6. Critical Phenomena in Gravitational Collapse

    gr-qc 2025-07 unverdicted novelty 3.0 of 10

    An authoritative review of critical collapse, updated with results on nonspherical vacuum collapse and rigorous PDE blowup.

  7. Dynamical Boson Stars

    gr-qc 2012-02 unverdicted novelty 2.0 of 10

    Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.

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