Completing the dark matter solutions in degenerate Kaluza-Klein theory

Abstract

A complete set of wave solutions is given for the weak field in a Kaluza-Klein theory with degenerate metric. In the five-dimensional version of this theory electromagnetism is described by two vector fields, and there is a reflection symmetry between them which unifies them with gravitation; wave behaviour in the extra dimension has been interpreted as dark matter. Here three independent dark matter solutions are found, and for two of them it is shown how they must be combined into a single solution in order to obey the reflection symmetry. The unification is also expanded to six dimensions to prepare the way to include further forces.