Nonvanishing magnetic field in pure electrostatic systems at rest in the curved space-time of Earth

Abstract

Solutions of the Maxwell equations for electrostatic systems at rest on the rotating Earth's surface are shown to exhibit a nonvanishing magnetic field despite zero electric currents in the system. Such a field is of pure geometric origin, and in contrast to the conventional magnetic field of the Earth it can not be screened away by magnetic shielding. A practical significance of this magnetic field is that its EDM-like background signal would persist in the much discussed searches for the EDM of charged particles of magic energy trapped in all electric storage rings, as well as in the neutron EDM experiments.