Charged particle interferometry in Plebanski–Demianski space–times

The Plebanski–Demianski solution is a very general axially symmetric analytical solution of Einsteins field equations generalizing the Kerr solution. This solution depends on seven parameters, the mass, a rotation parameter, a cosmological constant, NUT parameter, electric and magnetic charges, and an acceleration. In this paper we present a general description of matter wave interferometry in this general space–time. Particular emphasis is placed on a gauge invariant description of the symmetries of the gauge field. We show that it is possible to have access to all parameters separately except the acceleration. For neutral particles there is only access to a combination of the electric and magnetic the charge. PACS: 03.75.Dg, 04.80.Cc, 04.20.Jb