Distance-redshift relation in a dust-shell universe

Details Distance-redshift relation in a dust-shell universe Distance-redshift relation in a dust-shell universe

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.551s&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

The relation between the 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 observed at the center agrees with that of an appropriate Friedmann model if we set a ``homogeneous'' expansion law and a ``homogeneous'' averaged density field. This is true for cases when we put quite a small number of shells . This will support the averaging hypothesis that a universe looks like a Friedmann model in spite of small-scale fluctuations of density field, if its averaged density field is homogeneous on large scales. We also discuss the dependence of the inhomogeneity effect on the sign of the curvature parameter.

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