N. Aquino et al., CONFORMAL TENSOR AND PETROV CLASSIFICATION FOR THE BOUNDED PART OF THE LIENARD-WIECHERT FIELD, Journal of physics. A, mathematical and general, 28(14), 1995, pp. 375-379
The existing analogies between the Lienard-Wiechert electromagnetic fi
eld (LWF) produced by a moving charge and the Robinson-Trautman soluti
ons (RT) Of general relativity are further enlarged by showing that th
e Petrov type of the bounded part of an LWF is the same as that of a g
eneric RT solution. We argue that it is possible to define an electrom
agnetic conformal tenser by using a superpotential previously found fo
r the LWF. The conformal tenser so constructed allows us to 'Petrov-cl
assify' that part of the LWF.