The Faraday two form is a two form on pairs of four dimensional vectors (3 space +1 time). It is given by(may I be forgiven for the notation):(adsbygoogle = window.adsbygoogle || []).push({});

[tex]F = E_x dx\wedge dt + E_y dy\wedge dt + E_z dz\wedge dt + B_z dx\wedge dy + B_x dy\wedge dz + B_y dz\wedge dx[/tex]

Most books then go on to say that for any closed manifold in four space [tex]\partial \sigma[/tex](may I be forgiven for the notation):

[tex]\int_{\partial \sigma} F = 0[/tex]

Or equivilently

[tex]dF = 0[/tex]

Thus far, I have been unable to find either a derivation of the quantity, or instead, a proof that the form is closed. I'm actually seriously doubting the latter, but I digress.

Does anyone know of any good treatments of the topic?

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# Derivation Of The Faraday Two-Form

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