Die Asymmetrie der kosmischen Zeit und RIEMANNS Gravitationstheorie
Abstract
The connection between Riemann's theory of gravitation and Einstein, EinsteinCartan, Weyl, and Eddington field theories is investigated. In Riemann's theory, the gravitational force flux corresponds to a potential flow of the ether that satisfies the continuity equation containing a first derivative with respect to time. Regions containing matter form sinks of the ether flux, where the density of the ether continuously decreases. Gravitational forces can be calculated as hydrodynamic forces acting at a distance according to Bjerknes' principle of kinetic buoyancy. Riemann's formulation can be brought into general relativistic form by extending Riemann's threedimensional metric to a fourdimensional one. The Riemannian geometry in Einstein's general relativity theory holds where there is no rest mass, while for a nonzero matter tensor a nonRiemannian geometry prevails. In this case the transfer coefficients depend directly on the matter, as in the EinsteinCartan theory.
 Publication:

Astronomische Nachrichten
 Pub Date:
 1978
 DOI:
 10.1002/asna.19782990402
 Bibcode:
 1978AN....299..165T
 Keywords:

 Cosmology;
 Field Theory (Physics);
 Gravitation Theory;
 Relativistic Theory;
 Riemann Manifold;
 Asymmetry;
 Continuity Equation;
 Differential Equations;
 Einstein Equations;
 SpaceTime Functions;
 Astrophysics