WEYL GEOMETRY AS CHARACTERIZATION OF SPACE-TIME

Deformation principle as foundation of physical geometry and its application to space - time geometry

Deformation principle as foundation of physical geometry and its application to space-time geometry. Abstract Physical geometry studies mutual disposition of geometrical objects and points in space, or space-time, which is described by the distance function d, or by the world function σ = d 2 /2. One suggests a new general method of the physical geometry construction. The proper Euclidean geome...

Deformation principle as foundation of physical geometry and its application to space - time geometry

Deformation principle as foundation of physical geometry and its application to space-time geometry. Abstract Physical geometry studies mutual disposition of geometrical objects and points in space, or space-time, which is described by the distance function d, or by the world function σ = d 2 /2. One suggests a new general method of the physical geometry construction. The proper Euclidean geome...

Geometry of Time and Dimensionality of Space

Einstein { Weyl Geometry , the dKP

Isotropic cosmologies in Weyl geometry

We study homogeneous and isotropic cosmologies in a Weyl spacetime. We show that for homogeneous and isotropic spacetimes, the field equations can be reduced to the Einstein equations with a twofluid source. We write the equations as a two-dimensional dynamical system and analyze the qualitative, asymptotic behavior of the models. We examine the possibility that in certain theories the Weyl 1-f...