1998/09/30 by Saulo Carneiro, S. Carneiro
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Galaxies: Formation, Evolution, Phenomena #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.61.083506
published as Phys.Rev. D61 (2000) 083506 · Extended version, accepted for publication in Physical Review D
arxiv created 2000/02/29 · openalex publication_date 2000/03/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Based on the mathematical similarity between the Friedmann open metric and G"odel's metric in the case of nearby distances, we investigate a new scenario for the universe's evolution, where the present Friedmann universe originates from a primordial G"odel 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 G"odel 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 Friedmann 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.