Nonspherical perturbations of critical collapse and cosmic censorship

Gundlach, Carsten (1998) Nonspherical perturbations of critical collapse and cosmic censorship. Physical Review D, 57, (12), R7075-R7079. (doi:10.1103/PhysRevD.57.R7075).


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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.

Item Type: Article
Related URLs:
Subjects: Q Science > QB Astronomy
Q Science > QA Mathematics
Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29175
Date Deposited: 07 Feb 2007
Last Modified: 06 Aug 2015 02:29

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