We can write the electromagnetic field tensor as [0−Ex/c−Ey/c−Ez/cEx/c0−BzByEy/cBz0−BxEz/c−ByBx0]=Fμν.
Erick J. Weinberg, Classical Solutions in Quantum Field Theory: Solitons and Instantons in High Energy Physics (p. 43), states:
For a static solution with vanishing electric fields F0j, and hence A0=0, [...]
How can this be proven?
Answer
EDIT: Answer was incorrect. So it was removed
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