Inertial and electromagnetic aspects of matter induced from five-dimensional general relativity

Abstract

In this thesis, we examine the inertial and electromagnetic properties of matter induced from a five-dimensional Kaluza-Klein-type extension of General Relativity (referred to as "Induced Matter" theory). The research presented here consists of six exact solutions of the 5D vacuum field equations, representing three different physical configurations, which are analyzed for their inertial and electromagnetic properties (using, for the first time from within the Induced Matter formalism, a charged, imperfect fluid model).

The first two solutions represent spherically-symmetric charge distributions, describing what, in the appropriate limit, would be charged 'particles'. The next two solutions represent axially-symmetric 'magnetized' distributions, describing 'wires' carrying currents with axially-symmetric magnetic fields. The final two solutions are conformally flat solutions (5D conformally flat and 4D conformally flat in a 5D manifold) representing cosmological distributions. (Specifically, their 4D interpretations are that of de Sitter space.)

We also correct a previous error made in the analysis of the Liu-Wesson class of 5D charged solutions, recently published in ref. [2]. Specifically, that class of solutions was thought to represent charged radiation, whereas it actually represents 'nonradiative' fluid. The inertial (and electromagnetic) properties of the Liu-Wesson class are calculated here for the first time.