Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropic cosmological singularities in spatially-homogeneous models
  with a cosmological constant   We prove well-posedness of the initial value problem for the Einstein
equations for spatially-homogeneous cosmologies with data at an isotropic
cosmological singularity, for which the matter content is either a cosmological
constant with collisionless particles of a single mass (possibly zero) or a
cosmological constant with a perfect fluid having the radiation equation of
state. In both cases, with a positive cosmological constant, these solutions,
except possibly for Bianchi-type-IX, will expand forever, and be
geodesically-complete into the future.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph