1999/10/21 by Norimasa Sugiura, Ken-ichi Nakao, Tomohiro Harada · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #gr-qc
paper · pdf · doi:10.1103/physrevd.60.103508
published as Phys.Rev. D60 (1999) 103508 · 17 pages, 7 figures
openalex publication_date 1999/10/21 · arxiv created 1999/11/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The relation between the angular diameter distance and redshift (dA\ensuremath-z relation) in a spherically symmetric dust-shell universe is studied. We discover that the relation agrees with that of an appropriate Friedmann-Lema\\itre (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 similar to 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 dA\ensuremath-z relation, we discuss an impact of the local inhomogeneities on the determination of the cosmological parameters through the observation of the locally inhomogeneous universe.