The Energy-Momentum Tensor in Premetric Electrodynamics

The electromagnetic theory in large part is metric independent. It is called premetric electrodynamics. The energy-momentum tensor is a mapping of volume trivectors into one-forms. When F and G are well known two-forms describing the electromagnetic field, V is a volume trivector, the energy momentum tensor of the electromagnetic field is the following linear mapping \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$V \rightarrow T(V) = \frac{1}{2} [G\lfloor(V \lfloor F) - F\lfloor(V \lfloor G)]$$\end{document}.