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Index gymnastics of electromagnetism quantities

  1. Jul 1, 2014 #1
    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. jcsd
  3. Jul 1, 2014 #2


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    The actual metric. The Minkowski metric is at best an approximation to the curved-spacetime metric.
  4. Jul 1, 2014 #3
  5. Jul 2, 2014 #4


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    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.
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