1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
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
    [tex]
    \[
    \delta h = -h h_{\alpha \beta} \delta h^{\alpha \beta} \, ;
    \]
    [/tex]

    delta h is the variation in h.

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

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    HINT:

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

    Daniel.
     
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)

Loading...