The locally-conserved current density of the Lienard-Wiechert field

The complete charge-current density and field strength of an arbitrarily accelerated relativistic point-charge are explicitly calculated. The current density includes, apart from the well-established delta-function term which is sufficient for its global conservation, additional contributions depending on the second and third proper-time derivatives of the position, which are necessary for its local conservation as required by the internal consistency of classical electrodynamics. Similarly, the field strength includes an additional delta-like contribution which is necessary for obtaining this result