On the geometry of cosmological model building

Abstract

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 ${\Omega }_m$, 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).

References in corpus (6)

• The Cosmological Constant
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• Interacting Dark Matter and Dark Energy
• The Sloan Digital Sky Survey Quasar Catalog II. First Data Release
• Evidence for an Extended SZ Effect in WMAP Data
• Testing General Relativity on the Scales of Cosmology

Cited by in corpus (6)

• Cosmological spacetimes balanced by a scale covariant scalar field
• Clusters of galaxies in a Weyl geometric approach to gravity
• Another look at the Pioneer anomaly
• The unexpected resurgence of Weyl geometry in late 20-th century physics
• Scale covariant gravity and equilibrium cosmologies
• Einstein universes stabilized