Generators for 4-potential and the Faraday's tensor of the Liénard-Wiechert field (Q1386828)

The authors study Maxwell's equations in a Minkowski spacetime. They show how the 4-potential \(A^a\), together with its corresponding Faraday tensor \(F_{ab}=- F_{ba}\), can be generated by two superpotentials [see \textit{Ch. G. van Weert}, Phys. Rev. D 9, No. 2, 339-341 (1974)], \(k_{ac}= -k_{ca}\) and \(k_{abc}= -k_{bac}\) such that \(A^a= k^{ab},_b\) and \(F^{ab}= k^{acb},_c\). The paper contains an extensive list of references for the benefit of the interested reader.