Observable relations in an inhomogeneous self-similar cosmology

Abstract

view Abstract Citations (24) References (34) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Observable relations in an inhomogeneous self-similar cosmology. Wesson, P. S. Abstract A self-similar general-relativistic model is taken as a simple example of an inhomogeneous cosmology and examined in terms of local properties in the radial and azimuthal directions at an observer's location. Expressions for the redshifts and Hubble parameters in the two directions are given, and the Hubble and deceleration parameters are determined for several initial conditions. All three quantities are found to be non-Friedmannian at early epochs but to tend to the Einstein-de Sitter expressions as time tends to infinity. It is shown that the magnitude-redshift relation is approximately Einstein-de Sitter for small redshifts, that the number density-redshift relation is in general non-Friedmannian, and that the 3-K microwave background should be anisotropic at a level that depends on the manner in which matter is clumped on larger-than-supercluster scales. The inhomogeneity of the universe is estimated to be less than 10% at the present epoch. Publication: The Astrophysical Journal Pub Date: March 1979 DOI: 10.1086/156891 Bibcode: 1979ApJ...228..647W Keywords: Astronomical Models; Cosmology; Density Distribution; Red Shift; Relativity; Inhomogeneity; Radial Velocity; Space Density; Universe; Astrophysics; Cosmological Models:Relativity Theory; Microwave Background full text sources ADS |