 Covariant Maxwell equation with the minus-plus-plus-plus metric

With metric signature $(-,+,+,+)$, $A_0=-\Phi /c$, and $j^{\mu }=(c\rho ,J)$, the field tensor satisfiesIts components are $F_{0i}=-E_i/c$ and $F_{ij}={ϵ}_{ijk}{B}_k$, so these tensor equations reproduce all four Maxwell equations.