Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov
  equations   We investigate the dynamics of spatially homogeneous solutions of the
Einstein-Vlasov equations with Bianchi type I symmetry by using dynamical
systems methods. All models are forever expanding and isotropize toward the
future; toward the past there exists a singularity. We identify and describe
all possible past asymptotic states; in particular, on the past attractor set
we establish the existence of a heteroclinic network, which is a new type of
feature in general relativity. This illustrates among other things that Vlasov
matter can lead to quite different dynamics of cosmological models as compared
to perfect fluids.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int