Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems

Abstract Solutions of the Maxwell equations for electrostatic systems with manifestly vanishing electric currents in the curved space-time for stationary metrics are shown to exhibit a non-vanishing magnetic field of pure geometric origin. In contrast to the conventional magnetic field of the Earth...

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Main Authors: N.N. Nikolaev, S.N. Vergele
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2020)191
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spelling doaj-1db2659ed2ac46878648e76517e8c2962020-11-25T02:19:37ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020411910.1007/JHEP04(2020)191Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systemsN.N. Nikolaev0S.N. Vergele1Landau Institute for Theoretical Physics, Russian Academy of SciencesLandau Institute for Theoretical Physics, Russian Academy of SciencesAbstract Solutions of the Maxwell equations for electrostatic systems with manifestly vanishing electric currents in the curved space-time for stationary metrics are shown to exhibit a non-vanishing magnetic field of pure geometric origin. In contrast to the conventional magnetic field of the Earth it can not be screened away by a magnetic shielding. As an example of practical significance we treat electrostatic systems at rest on the rotating Earth and derive the relevant geometric magnetic field. We comment on its impact on the ultimate precision searches of the electric dipole moments of ultracold neutrons and of protons in all electric storage rings.http://link.springer.com/article/10.1007/JHEP04(2020)191Classical Theories of GravityPrecision QED
collection DOAJ
language English
format Article
sources DOAJ
author N.N. Nikolaev
S.N. Vergele
spellingShingle N.N. Nikolaev
S.N. Vergele
Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
Journal of High Energy Physics
Classical Theories of Gravity
Precision QED
author_facet N.N. Nikolaev
S.N. Vergele
author_sort N.N. Nikolaev
title Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
title_short Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
title_full Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
title_fullStr Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
title_full_unstemmed Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
title_sort maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-04-01
description Abstract Solutions of the Maxwell equations for electrostatic systems with manifestly vanishing electric currents in the curved space-time for stationary metrics are shown to exhibit a non-vanishing magnetic field of pure geometric origin. In contrast to the conventional magnetic field of the Earth it can not be screened away by a magnetic shielding. As an example of practical significance we treat electrostatic systems at rest on the rotating Earth and derive the relevant geometric magnetic field. We comment on its impact on the ultimate precision searches of the electric dipole moments of ultracold neutrons and of protons in all electric storage rings.
topic Classical Theories of Gravity
Precision QED
url http://link.springer.com/article/10.1007/JHEP04(2020)191
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