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All nonspherical perturbations of the Choptuik spacetime decay

Jose M. Martin-Garcia·Carsten Gundlach
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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.

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Jose M. Martin-Garcia, Carsten Gundlach. 1998-09-18. All nonspherical perturbations of the Choptuik spacetime decay. https://doi.org/10.1103/physrevd.59.064031

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