Nonspherical perturbations of critical collapse and cosmic censorship

Gundlach, Carsten

doi:10.1103/PhysRevD.57.R7075

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Nonspherical perturbations of critical collapse and cosmic censorship

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Gundlach, Carsten
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Gundlach, C. (1998). Nonspherical perturbations of critical collapse and cosmic censorship. Physical Review D, 57(12), 7075-7079. doi:10.1103/PhysRevD.57.R7075.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5951-E

Abstract

Choptuik has demonstrated that naked singularities can arise in gravitational collapse from smooth, asymptotically flat initial data, and that such data have codimension one in spherical symmetry. Here we show, for perfect fluid matter with an equation of state p=ρ/3, by perturbing around spherical symmetry, that such data have in fact codimension one in the full phase space, at least in a neighborhood of spherically symmetric data.