Interpreting Faraday 2-Form from u,v Inputs

[emily1986]

I'm trying to calculate the Faraday 2-form with two vectors as an input. The problem is I don't know how to interpret my results. The Faraday 2-form is given by,

F=1/2F_αβdx^α∧dx^β
And I'm told to calculate F(u,v) where u=u_αd^α and v=v_αd^α

I expanded out F_αβ with the determinant given by the wedge product using my two 1-forms as input. When we did this for charge and velocity, we got the lorentz force, but it seems all I have here is a big mess. What is the physical interpretation of the Faraday 2-form which takes two 4 velocities as an input?

Thanks.

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?