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

Change of determinant of metric

  1. Jun 21, 2014 #1


    User Avatar
    Gold Member

    Under a change of variables:
    [itex]x^{\mu} \rightarrow x^{\mu}+ \delta x^{\mu}[/itex]

    How can I see how the determinant of the metric changes?
    [itex] \sqrt{|g(x)|}[/itex]?

    Is it correct to see it as a function?
    [itex] f(x) \rightarrow f(x+ \delta x) = f(x) + \delta x^{\mu} \partial_{\mu} f(x) [/itex]
  2. jcsd
  3. Jun 21, 2014 #2


    User Avatar
    Science Advisor
    Gold Member

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