Electromagnetic field tensor
= Electromagnetic field tensor
{title2=$F^{\mu\nu}$}
{wiki}
The electromagnetic field tensor is
$$
F^{\mu\nu}=\partial^\mu A^\nu-\partial^\nu A^\mu.
$$
It packages the electric and magnetic fields into an antisymmetric rank-two Lorentz tensor and transforms as
$$
F'^{\mu\nu}(x')
=\Lambda^\mu{}_\rho\Lambda^\nu{}_\sigma F^{\rho\sigma}(x).
$$