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Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse

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arxiv gr-qc/9504008 v1 pith:PYSRZQZN submitted 1995-04-05 gr-qc

Dieter Maison (Max-Planck-Institut für Physik , Werner-Heisenberg-Institut) This is my paper · ORCID
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keywords criticalbehaviourgammagravitationalparametersphericallysymmetricassumed
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abstract

The aim of the present letter is to explain the `critical behaviour' observed in numerical studies of spherically symmetric gravitational collaps of a perfect fluid. A simple expression results for the critical index $\gamma$ of the black hole mass considered as an order parameter. $\gamma$ turns out to vary strongly with the parameter $k$ of the assumed equation of state $p=k\rho$.

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Cited by 7 Pith papers

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

  1. Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Accounting for the minimal mass spread of primordial black holes from gravitational collapse suppresses the Poltergeist GW background to the level of generic scalar-induced signals and reopens ultra-light PBH parameter space.

  2. 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.

  3. 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.

  4. Saturation Equations of State in Critical Gravitational Collapse: The Primordial Black Hole Threshold

    gr-qc 2026-06 conditional novelty 5.0 of 10

    Simulations with a saturating lattice-gas equation of state show the primordial black hole formation threshold increases by 0.50 percent while the critical exponent remains 0.357.

  5. Critical collapse of vacuum spacetimes: Nakamura wave initial data

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Simulations with Nakamura wave initial data confirm approximately discretely self-similar threshold solutions in vacuum gravitational wave collapse, but without exact self-similarity or a unique critical solution, con...

  6. Primordial black holes through preheating instabilities in $\alpha$-attractor models

    astro-ph.CO 2025-05 conditional novelty 5.0 of 10

    In alpha-attractor models, preheating self-resonance can form primordial black holes of 10^2 to 10^7 g, with the Khlopov-Polnarev collapse formalism staying viable and the Press-Schechter formalism overproducing.

  7. 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.

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