Charged particle interferometry in Plebanski-Demianski black hole spacetimes

The Plebanski-Demianski solution is a very general axially symmetric analytical solution of the Einstein field equations generalizing the Kerr solution. This solution depends on seven parameters which under certain circumstances are related to mass, rotation, cosmological constant, NUT parameter, electric and magnetic charges and acceleration. In this paper we present a general description of matter wave interferometry in the general Plebanski-Demianski black hole spacetime. 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 electric and magnetic charge.