Parallax distance of objects in a locally inhomogeneous universe

Mathematics – Logic

Scientific paper

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Cosmology, Inhomogeneity, Parallax, Universe, Distance, Mass Distribution, Red Shift, Spatial Distribution

Scientific paper

Some theoretical functions are determined which may be useful in interpreting observational data that will be obtained when the parallaxes of objects located at cosmological distances are measured from space. Dimensionless parallax distances for such objects are calculated analytically as functions of the redshifts of the objects and the density parameter and filling factor of a cosmological model that is homogeneous only on the average. All possible values of redshift, density parameter, and cosmological filling factor are considered.

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