# Covariant divergence question from Landau and Lifshitz

1. Nov 22, 2009

### maverick280857

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.

Cheers
Vivek

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2. Nov 22, 2009

### clamtrox

I bet they've calculated $$\partial \sqrt{-g} / \partial x^{\mu}$$ somewhere.

3. Nov 22, 2009

### George Jones

Staff Emeritus
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.

4. Nov 23, 2009

### maverick280857

George, thanks a lot for this very useful link! Unfortunately, my school library does not have this book.

5. Nov 24, 2009