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Collapse of a Scalar Field in 2+1 Gravity

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arxiv gr-qc/0207121 v1 pith:UI54Q2GZ submitted 2002-07-30 gr-qc

Eric W. Hirschmann , Anzhong Wang , Yumei Wu This is my paper
classification gr-qc
keywords criticalcollapsefieldfindnumericalscalarsolutionsagree
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We consider the problem of critical gravitational collapse of a scalar field in 2+1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure, we examine their perturbations with the intent of understanding which are the critical solutions with a single unstable mode. The critical solution which we find is the one which agrees most closely with that found in numerical evolutions. However, the critical exponent which we find does not seem to agree with the numerical result.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 46 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. 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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