2005/11/21 by Erhard Scholz, Scholz, Erhard · 15 citations
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Einstein #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Relativity and Gravitational Theory #Theoretical physics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0511113
published in arXiv (Cornell University) (Cornell University)
arxiv created 2005/11/21 · openalex publication_date 2005/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This article analyzes the present anomalies of cosmology from the point of view of integrable Weyl geometry. It uses P.A.M. Dirac's proposal for a weak extension of general relativity, with some small adaptations. Simple models with interesting geometrical and physical properties, not belonging to the Friedmann-Lema\^ıtre class, are studied in this frame. Those with positive spatial curvature (Einstein-Weyl universes) go well together with observed mass density Ωm, CMB, supernovae Ia data, and quasar frequencies. They suggest a physical role for an equilibrium state of the Maxwell field proposed by I.E. Segal in the 1980s (Segal background) and for a time invariant balancing condition of vacuum energy density. The latter leads to a surprising agreement with the BF-theoretical calculation proposed by C. Castro (2002).