ABSTRACT
The equations which describe the behaviour of electric and magnetic fields in the presence of a given charge density, ρ(x, t), and current density, J(x, t), are written in the following way:
∇ · E = ρ (5.1) ∇ ·B = 0 (5.2) ∇×B− 1
c
∂E
∂t = J (5.3)
∇×E+ 1 c
∂B
∂t = 0. (5.4)
These equations can immediately be written in covariant form for Lorentz transformations [3].