  The static limit of Lorentz-violating electrodynamics in vacuum and in media
is investigated. Features of the general solutions include the need for
unconventional boundary conditions and the mixing of electrostatic and
magnetostatic effects. Explicit solutions are provided for some simple cases.
Electromagnetostatics experiments show promise for improving existing
sensitivities to parity-odd coefficients for Lorentz violation in the photon
sector.
