# Cosmological spacetimes balanced by a scale covariant scalar field - Astrophysics

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Abstract: A scale invariant, Weyl geometric, Lagrangian approach to cosmology isexplored, with a a scalar field phi of scale weight -1 as a crucialingredient besides classical matter \cite{Tann:Diss,Drechsler:Higgs}. For aparticularly simple class of Weyl geometric models called {\em Einstein-Weyluniverses} the Klein-Gordon equation for phi is explicitly solvable. In thiscase the energy-stress tensor of the scalar field consists of a vacuum-liketerm Lambda g {mu nu} with variable coefficient Lambda, depending on matterdensity and spacetime geometry, and of a dark matter like term. Under certainassumptions on parameter constellations, the energy-stress tensor of thephi-field keeps Einstein-Weyl universes in locally stable equilibrium. A shortglance at observational data, in particular supernovae Ia Riess ea 2007,shows interesting empirical properties of these models.

Autor: Erhard Scholz

Fuente: https://arxiv.org/

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