# Index gymnastics of electromagnetism quantities

1. Jul 1, 2014

### coleman123

This bothers me, and the question is simple:

If am working with a non-minkowski metric g, when raising or lowering indexes of electromagnetism quantities, for example the electromagnetic tensor F, or the vector potential A, should I use my curved spacetime metric g or the minkowski metric n?

Last edited: Jul 1, 2014
2. Jul 1, 2014

### bcrowell

Staff Emeritus
The actual metric. The Minkowski metric is at best an approximation to the curved-spacetime metric.

3. Jul 1, 2014

Thanks!

4. Jul 2, 2014

### WannabeNewton

Coordinate indices are raised and lowered with $g$ but tetrad indices are raised and lowered using $\eta$, be it curved space-time or flat space-time.