Redshift and structure formation in a spatially flat inhomogeneous universe

Mathematics – Logic

Scientific paper

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Scientific paper

We study a spherically symmetric Tolman-Bondi cosmological model with globally flat spatial sections t=const. We consider the model valid for the description of the Universe after matter starts to dominate. The redshift and cosmological observations in the model are examined and a simple scenario of the changes in the structure formation when compared to the standard flat Friedmann-Robertson-Walker universe is proposed. This scenario is based on the fact that in our model different parts of the Universe spend unequal periods of time in the matter-dominated era. The correction to the cold-dark-matter spatial two-point correlation function is derived. Specific cases are examined corresponding to observationally based distributions of the density. We show that this not only leads to no contradictions, but significantly improves the fit of theoretically predicted correlation functions to observations.

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