Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Varying metric determinant

  1. Jan 15, 2006 #1
    Let h = det h_{alpha beta}. The number of dimensions is not necessarily four. Show that
    \delta h = -h h_{\alpha \beta} \delta h^{\alpha \beta} \, ;

    delta h is the variation in h.

    Not sure how to start.
  2. jcsd
  3. Jan 16, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper


    [tex] \mbox{det} A=\exp\mbox{Tr} \ \ln A [/tex]

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Varying metric determinant
  1. Metric/metric tensor? (Replies: 1)