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Covariant divergence question from Landau and Lifshitz

  1. Nov 22, 2009 #1
    Hi everyone,

    I'm trying to work through section 86 of Landau and Lifgarbagez volume 2 (The Classical Theory of Fields).

    Basically, I am unable to get equation (86.6) from equations (86.4) and (86.5). I've detailed my working/question in the attached jpg file. I would appreciate any inputs.

    Thanks in advance!
    Cheers
    Vivek
     

    Attached Files:

  2. jcsd
  3. Nov 22, 2009 #2
    I bet they've calculated [tex] \partial \sqrt{-g} / \partial x^{\mu} [/tex] somewhere.
     
  4. Nov 22, 2009 #3

    George Jones

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    Take a look at section 1.7 in Eric Poisson's excellent notes,

    http://www.physics.uoguelph.ca/poisson/research/agr.pdf.

    Better yet, see if your library has a copy of the excellent book, A Relativist's Toolkit: The Mathematics of Black Hole Mechanics, into which the notes evolved.
     
  5. Nov 23, 2009 #4
    George, thanks a lot for this very useful link! Unfortunately, my school library does not have this book.
     
  6. Nov 24, 2009 #5
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