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Critical phenomena in the collapse of gravitational waves

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arxiv 2305.17171 v1 pith:UBGQ4QAH submitted 2023-05-26 gr-qc

Thomas W. Baumgarte , Bernd Brügmann , Daniela Cors , Carsten Gundlach , David Hilditch , Anton Khirnov , Tomáš Ledvinka , Sarah Renkhoff
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Isabel Suárez Fernández
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keywords collapsecriticaldatagravitationalinitialphenomenawavesacts
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Fine-tuning generic but smooth spherically-symmetric initial data for general relativity to the threshold of dynamical black hole formation creates arbitrarily large curvatures, mediated by a universal self-similar solution that acts as an intermediate attractor. For vacuum gravitational waves, however, these critical phenomena have been elusive. We present, for the first time, excellent agreement among three independent numerical simulations of this collapse. Surprisingly, we find no universality, and observe approximate self-similarity for some families of initial data but not for others.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Merging black holes with Cauchy-characteristic matching: Computation of late-time tails

    gr-qc 2024-12 conditional novelty 8.0 of 10

    First fully nonlinear Cauchy-characteristic matching simulations of binary black hole mergers are stable and accurate, and they expose late-time tails with decay exponents near -3.5 to -3.8.

  2. 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.

  3. Angle of Null Energy Condition Lines in Critical Spacetimes

    gr-qc 2024-11 conditional novelty 7.0 of 10

    In Choptuik critical collapse, the null energy condition saturation lines meet at the center with a universal angle α=2 arccot(D−1), numerically α≈0.64 in four dimensions.

  4. Comparing twist-free axisymmetric gravitational waves near the black hole threshold

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Independent codes (bamps, prague, sphGR) agree on near-threshold vacuum wave collapse, confirming family-dependent scaling and quasi-universal strong-field features.

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