Scale covariant gravity and equilibrium cosmologies
| dc.creator | Scholz, Erhard | |
| dc.date | 2007-03-20 | |
| dc.date.accessioned | 2026-07-07T07:52:47Z | |
| dc.date.available | 2026-07-07T07:52:47Z | |
| dc.description | Causal structure, inertial path structure and compatibility with quantum mechanics demand no full Lorentz metric, but only an integrable Weyl geometry for space time (Ehlers/Pirani/Schild 1972, Audretsch e.a. 1984). A proposal of (Tann 1998,,Drechsler/Tann 1999) for a minimal coupling of the Hilbert-Einstein action to a scale covariant scalar vacuum field $ϕ$ (weight -1) plus (among others) a Klein-Gordon action term opens the access to a scale covariant formulation of gravity. The ensuing scale covariant K-G equation specifies a natural scale gauge vacuum gauge). Adding other natural assumptions for gauge conditions (in particular Newton gauge, with unchanging Newton constant) the chosen Ansatz leads to a class of Weyl geometric Robertson-Walker solutions of the Einstein equation, satisfying $a''a+a'^2= const$, analogous to the Friedmann-Lemaitre equation but with completely different dynamical properties ($a$ the warp function in Riemann gauge). The class has an asymptotically attracting 1-parameter subfamily of extremely simple space-time geometries with an isotropic Robertson-Walker fluid as source of the Einstein equation, discussed as Weyl universes elsewhere (Scholz 2005). Under the assumption of a heuristic gravitational self energy binding Ansatz for the fluid, equilibrium solutions arise, in stark contrast to classical (semi-Riemannian) cosmology. Weyl universes agree very well with a variety of empirical data from observational cosmology, in particular supernovae luminosities and quasar data. | |
| dc.description | 30 pp | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0703102 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0703102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126008 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Scale covariant gravity and equilibrium cosmologies | |
| dc.type | text |