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Perturbations of an exact solution for 2+1 dimensional critical collapse

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arxiv gr-qc/0205107 v2 pith:22RHOXTT submitted 2002-05-24 gr-qc

David Garfinkle , Carsten Gundlach This is my paper
classification gr-qc
keywords criticalsolutionunstablecollapseexactfindperturbationanother
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We find the perturbation spectrum of a family of spherically symmetric and continuously self-similar (CSS) exact solutions that appear to be relevant for the critical collapse of scalar field matter in 2+1 spacetime dimensions. The rate of exponential growth of the unstable perturbation yields the critical exponent. Our results are compared to the numerical simulations of Pretorius and Choptuik and are inconclusive: We find a CSS solution with exactly one unstable mode, which suggests that it may be the critical solution, but another CSS solution which has three unstable modes fits the numerically found critical solution better.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 23 citations worldwide. Full citation record

  1. Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in $2+1$ dimensions

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    Proves weak cosmic censorship for circularly symmetric Einstein-scalar field system in 2+1D with Λ<0: maximal developments of generic C^k initial data (k≥2) contain no naked singularities.

  2. Critical spacetime crystals in continuous dimensions

    gr-qc 2026-02 unverdicted novelty 7.0 of 10

    Numerical construction of a one-parameter family of discretely self-similar critical spacetimes for massless scalar collapse in continuous D>3, giving echoing period Delta(D) and Choptuik exponent gamma(D) with a maxi...

  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. Quantum fate of the Choptuik naked singularity

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Quantum backreaction generates horizons that cloak the Choptuik naked singularity, reducing its predictability violation to the standard black hole evaporation problem.

  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.

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