All nonspherical perturbations of the Choptuik spacetime decay

José M. Martín-García and Carsten Gundlach
Phys. Rev. D 59, 064031 – Published 25 February 1999
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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.

  • Received 18 September 1998

DOI:https://doi.org/10.1103/PhysRevD.59.064031

©1999 American Physical Society

Authors & Affiliations

José M. Martín-García

  • Laboratorio de Astrofísica Espacial y Física Fundamental, Apartado 50727, 28080 Madrid, Spain

Carsten Gundlach

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Schlaatzweg 1, 14473 Potsdam, Germany

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Vol. 59, Iss. 6 — 15 March 1999

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