Relation of redshift surveys to matter distribution in spherically symmetric dust universes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmology, Galaxies, Intergalactic Media, Red Shift, Universe, Distance, Sky Surveys (Astronomy), Space-Time Functions

Scientific paper

Redshift surveys are commonly used to map the distribution of matter in space. The relation of the observed distribution in redshift space to the actual spacetime and its matter distribution in the spherically symmetric (Tolman-Bondi) dust model is considered. Density inhomogeneities may be either curvature radius inhomogeneities or bang time inhomogeneities or some combination of these. In the pure curvature radius case the inhomogeneity appears stronger in the redshift space, whereas in a pure bang time case an observed overdensity corresponds to an actual underdensity of a larger amplitude.

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