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

@article{Nikolaev2020MaxwellEI,
  title={Maxwell equations in curved space-time: non-vanishing magnetic field in pure electrostatic systems},
  author={N. N. Nikolaev and S. N. Vergele},
  journal={Journal of High Energy Physics},
  year={2020},
  volume={2020},
  pages={1-19}
}
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… 
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Electrodynamics in noninertial frames
  • Y. Obukhov
  • Physics, Mathematics
    The European Physical Journal C
  • 2021
The electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems. The…
Electrodynamics in noninertial frames
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