On the cosmological solutions in Weyl geometry

Einstein { Weyl Geometry , the dKP

On brane cosmological solutions

This paper studies some cosmological consequences of the five dimensional, two brane Randall-Sundrum brane scenario. The radius of the compact extra dimension is taken to be time dependent. It is shown that the cosmology consistent with the two brane Randall-Sundrum model is a power law expansion of the universe, with scale factor growing as t. The two branes tend to move towards each other wit...

On cosmological isotropy, quantum cosmology and the Weyl curvature hypothesis

The increasing entropy, large-scale isotropy and approximate flatness of the universe are considered in the context of signature change, which is a classical model of quantum tunnelling in quantum cosmology. The signature change hypothesis implies an initial inflationary epoch, the magnetic half of the Weyl curvature hypothesis, and a close analogue of the conformal singularity hypothesis. Addi...

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...

Remarks on Weyl Geometry and Quantum Mechanics

A short survey of some material related to conformal general relativity (GR), integrable Weyl geometry, and Dirac-Weyl theory is given which suggests that various actions can be reformulated in terms of the quantum potential. Possible connections to dark matter are also indicated.