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All nonspherical perturbations of the Choptuik spacetime decay

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arxiv gr-qc/9809059 v1 pith:U4UARJ4R submitted 1998-09-18 gr-qc

Jose M. Martin-Garcia (LAEFF , Madrid) , Carsten Gundlach (AEI , Potsdam) This is my paper · ORCID
classification gr-qc
keywords nonsphericalperturbationschoptuikcollapsedecaygravitationalcontextcritical
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We study the nonspherical linear perturbations of the discretely self-similar and spherically symmetric solution for a self-gravitating scalar field discovered by Choptuik in the context of marginal gravitational collapse. We find that all nonspherical perturbations decay. Therefore critical phenomena at the threshold of gravitational collapse, originally found in spherical symmetry, will extend to (at least slightly) nonspherical initial data.

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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 62 citations worldwide. Full citation record

  1. 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...

  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. Perturbations of relativistic dissipative stars

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    Linearized perturbations of relativistic stars with BDNK viscosity reduce to two coupled wave equations in the axial sector and five coupled wave equations plus a constraint in the polar sector, including a new viscous mode.

  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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