Wesson's IMT with a Weylian bulk
arXiv:0710.3690 · doi:10.1007/s10701-005-6518-5
Abstract
The foundations of Wesson's induced matter theory are analyzed. It is shown that the 5D empty bulk must be regarded rather as a Weylian space than as a Riemannian one.The framework of a Weyl-Dirac version of Wesson's theory is elaborated and discussed. The bulk possesses in addition to the metric tensor a Weylian connection vector as well Dirac's gauge function; there are no sources (mass, current) in the bulk. On the 4D brane one obtains a geometrically based unified theory of gravitation and electromagnetism with mass, currents and equations induced by the 5D bulk
29 pages
References in corpus (1)
Cited by in corpus (6)
- Inducing the cosmological constant from five-dimensional Weyl space
- On the embedding of spacetime in five-dimensional Weyl spaces
- Stabilization of test particles in Induced Matter Kaluza-Klein theory
- Creation of neutral fundamental particles in the Weyl-Dirac version of Wesson's IMT
- Creation of fundamental particles in Wesson's IMT
- On measuring standards in Weyl's geometry