All nonspherical perturbations of the Choptuik spacetime decay

1998/09/18 by José M. Martín-García, Jose M. Martin-Garcia, Carsten Gundlach · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.59.064031

published as Phys.Rev. D59 (1999) 064031 · 24 pages, Revtex, 3 figures

arxiv created 1998/09/18 · openalex publication_date 1999/02/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Universality and scaling in gravitational collapse of a massless scalar field
• Stability of a Schwarzschild Singularity

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