Thanks for the hint. I realize that F_{\rho \sigma}\tilde{F}^{\rho\sigma} = -4 \vec{B}\cdot \vec{E}, which is a scalar. That means if E//B in one frame, \vec{E}\cdot \vec{B} \neq 0 in all frames. Thus I just need to find the right Lorentz boost for systems like that. I will try and see what I...
Homework Statement
Suppose given an electric field \vec{E} and a magnetic field \vec{B} in some inertial frame. Determine the conditions under which there exists a Lorentz transformation to another inertial frame in which \vec{E} || \vec{B}
Homework Equations
If we give a Lorentz boost along...