Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-08-05
Phys.Rev. D58 (1998) 103504
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
latex, 18 pages, 10 figures. Accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.58.103504
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.
Harada Tomohiro
nakao Ken-ichi
Sugiura Norimasa
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