Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distance-redshift relation in an isotropic inhomogeneous universe:
  Spherically symmertic dust-shell universe   The relation between angular diameter distance and redshift in a spherically
symmetric dust-shell universe is studied. This model has large inhomogeneities
of matter distribution on small scales. We have discovered that the relation
agrees with that of an appropriate Friedmann-Lemaitre(FL) model if we set a
``homogeneous'' expansion law and a ``homogeneous'' averaged density field.
This will support the averaging hypothesis that a universe looks like a FL
model in spite of small-scale fluctuations of density field, if its averaged
density field is homogeneous on large scales.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
2
The categories of this paper are: math