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 II:
  Spherically symmetric dust-shell universe   The relation between the angular diameter distance and redshift in a
spherically symmetric dust-shell universe is studied. 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. We also study the
connection of the proper mass of a shell with the mass of gravitationally bound
objects. Combining this with the results of the distance-redshift relation, we
discuss an impact of the local inhomogeneities on determination of the
cosmological parameters through the observation of the locally inhomogeneous
universe.

21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys