Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On "asymptotically flat" space-times with $G_{2}$-invariant Cauchy
  surfaces   In this paper we study space-times which evolve out of Cauchy data
$(\Sigma,{}^3g,K)$ invariant under the action of a two-dimensional commutative
Lie group. Moreover $(\Sigma,{}^3g,K)$ are assumed to satisfy certain
completeness and asymptotic flatness conditions in spacelike directions. We
show that asymptotic flatness and energy conditions exclude all topologies and
group actions except for a cylindrically symmetric $R^3$, or a periodic
identification thereof along the $z$-axis. We prove that asymptotic flatness,
energy conditions and cylindrical symmetry exclude the existence of compact
trapped surfaces. Finally we show that the recent results of Christodoulou and
Tahvildar-Zadeh concerning global existence of a class of wave-maps imply that
strong cosmic censorship holds in the class of asymptotically flat
cylindrically symmetric electro-vacuum space-times.

26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
1
The categories of this paper are: cs
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph