Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 equation of state $p=\rho/3$, 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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The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin