  The general relativistic kinetic theory including the effect of a stationary
gravitational field is applied to the electromagnetic transport processes in
conductors. Then it is applied to derive the general relativistic Ohm's law
where the gravitomagnetic terms are incorporated. The total electric charge
quantity and charge distribution inside conductors carrying conduction current
in some relativistic cases are considered. The general relativistic Ohm's law
is applied to predict new gravitomagnetic and gyroscopic effects which can, in
principle, be used to detect the Lense-Thirring and rotational fields.
