Faraday's law for relativistic and deformed motion of a circuit

In a recent letter, Ares-de-Parga and Rosales (1989) have noted that Faraday's law of induction requires extension in order to apply to situations in which circuits undergo deformation as they move and in which the motion may be relativistic. This paper supplies a new expression for Faraday's law valid in a reference frame in which all parts of a circuit move at relativistic velocities. The expression is rendered as a line integral of the electric field around the circuit contour in the rest frame of a rigidly-moving circuit, or collection of instantaneously co-moving rest frames of the individual segments of a circuit that experiences deformation.