Charged particle interferometry in Pleba\'{n}ski--Demia\'{n}ski black hole space--times

TL;DR

This paper explores matter wave interferometry in the complex Plebański–Demiański black hole spacetime, revealing how various black hole parameters influence interference patterns and providing a gauge-invariant analysis of the electromagnetic fields involved.

Contribution

It offers a comprehensive, gauge-invariant framework for analyzing matter wave interferometry in the most general axially symmetric black hole spacetime, including all parameters except acceleration.

Findings

Access to all parameters except acceleration via interferometry.

Neutral particles reveal combined electric and magnetic charge effects.

Gauge invariance ensures physical observables are independent of gauge choices.

Abstract

The Pleba\'{n}ski--Demia\'{n}ski 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 Pleba\'{n}ski--Demia\'{n}ski black hole 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 electric and magnetic charge.