Theoretical Observable Properties of the Normal Relativistic World Models and the Steady-state World Model

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Abstract
The geometries of normal relativistic world models can be defined by the values of just two parameters, one depending on the present mean density of the universe ρ0 and the other on the cosmological constant λ. Rough limits on the permissible values of these parameters are established. A set of models covering the allowable range defined by these limits is considered, together with the steady-state model, and relations between the integrated numbers, Doppler shifts, angular sizes and flux densities of radio sources in these models are presented in graphical form. The sources are assumed to have constant size, to have power spectra of the form |$P \propto \nu^{-\alpha}$|⁠, and for the relativistic models the source density is assumed to be proportional to the mass density. The effects of evolution and disperion of the source characteristics are not considered.

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