Nonspherical perturbations of critical collapse and cosmic censorship
Nonspherical perturbations of critical collapse and cosmic censorship
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=?/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.
R7075-R7079
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
1998
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Gundlach, Carsten
(1998)
Nonspherical perturbations of critical collapse and cosmic censorship.
Physical Review D, 57 (12), .
(doi:10.1103/PhysRevD.57.R7075).
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=?/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.
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Published date: 1998
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Local EPrints ID: 29175
URI: http://eprints.soton.ac.uk/id/eprint/29175
ISSN: 1550-7998
PURE UUID: 542d9661-68c0-4836-a00d-572c77d05ac0
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Date deposited: 07 Feb 2007
Last modified: 16 Mar 2024 03:15
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