How to determine a Tolman-Bondi universe from ideal observable and theoretical relations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Galactic Evolution, Relativity, Universe, Gravitation, Isotropy, Luminosity, Red Shift

Scientific paper

Observations directly support the large-scale isotropy of the universe around the galaxy but not its homogeneity. General-relativistic dust universes which have but a single center of spherical symmetry have been examined by Tolman (1934) and Bondi (1947). It is shown that by utilizing ideal observations of apparent luminosity, apparent diameter, and number density of galaxies against redshift, together with predictions from a hypothetical ideal theory of galactic evolution, the unknown functions in the Tolman-Bondi metric can in principle be determined for the entire past and future of the observable universe. Since the Friedmann models constitute the homogeneous subclass of Tolman-Bondi models, the analysis could prove useful in testing the homogeneity assumption.

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