TL;DR
This paper proposes a cosmological model where the universe transitions from a primordial Godel universe to a Friedman universe, explaining galaxy rotation and matching observed universe parameters.
Contribution
It introduces a novel scenario linking Godel and Friedman metrics, suggesting a phase transition with implications for galaxy rotation and universe parameters.
Findings
Primordial Godel universe's radius and density match current universe values.
The model's expansion time aligns with the universe's age.
Angular momentum conservation explains galaxy rotation and mass-spin relations.
Abstract
Based on the mathematical similarity between the Friedman open metric and Godel's metric in the case of nearby distances, we investigate a new scenario for the Universe's evolution, where the present Friedman universe originates from a primordial Godel universe by a phase transition during which the cosmological constant vanishes. Using Hubble's constant and the present matter density as input, we show that the radius and density of the primordial Godel universe are close, in order of magnitude, to the present values, and that the time of expansion coincides with the age of the Universe in the standard Friedman model. In addition, the conservation of angular momentum provides, in this context, a possible origin for the rotation of galaxies, leading to a relation between the masses and spins corroborated by observational data.
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