Re: Neutrino Mass and Supernovae

carlip-nospam_at_physics.ucdavis.edu
Date: 10/10/04 

Date: Sun, 10 Oct 2004 22:53:12 +0000 (UTC)

Ken S. Tucker <dynamics@vianet.on.ca> wrote:
> carlip-nospam@physics.ucdavis.edu wrote in message
> news:<ck9knt$lbt$1@skeeter.ucdavis.edu>...

[...]
> I do not quite understand the meaning of "volume" in the context
> of G_uv = T_uv.

> Here's my understanding...
> Since G_uv conventionally defines curvature at a "point",
> the "volume" should occupy a point given by either,

> 1) dV = (small Volume) = Area*(dL = small length)

Certainly not.

> or

> 2) dV = dx dy dz

Yes. Go to any basic, introductory physics textbook (say, Halliday,
Resnick, and Walker's chapter on fluids), and learn what "density"
means.

> I get nervous with (2) because of the density that may occur
> within the transform of a 3D volume element, ie.

> dV' sqrt g' = dV sqrt g g=det|g_uv|

Why should this make you nervous?

Steve Carlip

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