Distance-redshift relation in an isotropic inhomogeneous universe: Spherically symmertic dust-shell universe
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9808012,
title = {Distance-redshift relation in an isotropic inhomogeneous universe: Spherically symmertic dust-shell universe},
author = {Norimasa Sugiura and Ken-ichi Nakao and Tomohiro Harada},
journal= {arXiv preprint arXiv:gr-qc/9808012},
year = {2009}
}
Comments
latex, 18 pages, 10 figures. Accepted for publication in Physical Review D