Distance-redshift relation in an isotropic inhomogeneous universe II: Spherically symmetric dust-shell universe
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9911090,
title = {Distance-redshift relation in an isotropic inhomogeneous universe II: Spherically symmetric dust-shell universe},
author = {Norimasa Sugiura and Ken-ichi Nakao and Tomohiro Harada},
journal= {arXiv preprint arXiv:gr-qc/9911090},
year = {2009}
}
Comments
17 pages, 7 figures