Turkish Journal of Physics
The use of differential forms allows the formulation of the principal equations of electrodynamics in a metric-independent way. The metric is needed only for finding the solutions. Various metrics can be introduced, depending on the medium. A special metric, connected with the electric permittivity tensor, allows us to reduce all electrostatic problems in anisotropic media to those in in isotropic one.
JANCEWICZ, BERNARD (1999) "Medium-dependent metric in electrostatics," Turkish Journal of Physics: Vol. 23: No. 5, Article 7. Available at: https://journals.tubitak.gov.tr/physics/vol23/iss5/7