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We study the nonspherical linear perturbations of the discretely self-similarand spherically symmetric solution for a self-gravitating scalar fielddiscovered by Choptuik in the context of marginal gravitational collapse. Wefind that all nonspherical perturbations decay. Therefore critical phenomena atthe threshold of gravitational collapse, originally found in sphericalsymmetry, will extend to (at least slightly) nonspherical initial data.Comment: 24 pages, Revtex, 3 figure

All nonspherical perturbations of the Choptuik spacetime decay