Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A regularity theorem for solutions of the spherically symmetric
  Vlasov-Einstein system   In a previous paper two of the authors (G. R. and A. D. R.) showed that there
exist global, classical solutions of the spherically symmetric Vlasov-Einstein
system for small initial data. The present paper continues this investigation
and allows also large initial data. It is shown that if a solution of the
spherically symmetric Vlasov-Einstein system develops a singularity at all then
the first singularity has to appear at the center of symmetry. The result adds
weight to the conjecture that cosmic censorship holds if one replaces dust as
matter model for which naked singularities do form by a collisionless gas
described by the Vlasov equation. The main tool is an estimate which shows that
a solution is global if all the matter remains away from the center of
symmetry.

35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
3
The categories of this paper are: physics
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
29
The categories of this paper are: funct-an