Critical Collapse Beyond Spherical Symmetry: General Perturbations of the Roberts Solution

Abstract

This paper studies the non-spherical perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (the Roberts solution). The exact analysis of the perturbation equations reveals that there are no growing non-spherical perturbation modes.

RevTeX 3.1, 15 pages, 1 figure

References in corpus (2)

• All nonspherical perturbations of the Choptuik spacetime decay
• Self-Similar Collapse of Scalar Field in Higher Dimensions

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