Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of non-homegeneous models and fine tuning of initial state   We apply phase space analysis to inhomogeneous cosmological model given by
Lema\^itre-Tolman model. We describe some general conditions required to
interpret the model stable enough and, in the present paper, apply them to two
special cases: dust filled homogeneous model with and without cosmological
constant. We find that such stability explaining all present astrophysical
observations can not be achieved due to instabilities in phase space. This
hints that non-homogeneous models are not likely to be physically viable,
although any conclusive analysis requires more realistic modeling of
non-homogeneous universe.

34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci