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]

?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# EM vector potential - covariant or contravariant?

**Physics Forums | Science Articles, Homework Help, Discussion**