Are potentials appearing in the Maxwell equations the components of a contravariant vector or a covariant vector?(adsbygoogle = window.adsbygoogle || []).push({});

Let us be specific. metric is (+,-,-,-) . Let us write the potentials which appear in the Maxwell equations as [tex]\Phi[/tex] and [tex]\vec{A}=(A_x,A_y,A_z)[/tex]

Is it then the case that

[tex]A^{\mu}=(\Phi,A_x,A_y,A_z)[/tex]

[tex]A_{\nu}=(\Phi,-A_x,-A_y,-A_z)[/tex]

or

[tex]A^{\mu}=(\Phi,-A_x,-A_y,-A_z)[/tex]

[tex]A_{\nu}=(\Phi,A_x,A_y,A_z)[/tex]

?

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# EM vector potential - covariant or contravariant?

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