Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotic behaviour in Schwarzschild time of Vlasov matter in
  spherically symmetric gravitational collapse   Given a static Schwarzschild spacetime of ADM mass M, it is well-known that
no ingoing causal geodesic starting in the outer domain r>2M will cross the
event horizon r=2M in finite Schwarzschild time. In the present paper we show
that in gravitational collapse of Vlasov matter this behaviour can be very
different. We construct initial data for which a black hole forms and all
matter crosses the event horizon as Schwarzschild time goes to infinity, and we
show that this is a necessary condition for geodesic completeness of the event
horizon. In addition to a careful analysis of the asymptotic behaviour of the
matter characteristics our proof requires a new argument for global existence
of solutions to the spherically symmetric Einstein-Vlasov system in an outer
domain, since our initial data have non-compact support in the radial momentum
variable and previous methods break down.

4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn