Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extension principle for the Einstein-Vlasov system in spherical
  symmetry   We prove that "first singularities" in the non-trapped region of the maximal
development of spherically symmetric asymptotically flat data for the
Einstein-Vlasov system must necessarily emanate from the center. The notion of
"first" depends only on the causal structure and can be described in the
language of terminal indecomposable pasts (TIPs). This result suggests a local
approach to proving weak cosmic censorship for this system. It can also be used
to give the first proof of the formation of black holes by the collapse of
collisionless matter from regular initial configurations.

13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg