makc wrote:Therefore, I would like to see a metric in non-comoving coords, but I can't find it anywhere.
I'd be surprised if you could find it.
In classical mechanics, how many times do you find it is easier to describe a system in spherical coordinates instead of Cartesian? Fairly often, I'd suspect, unless you are truly a mathematical masochist.
Similarly, in cosmology, it is far easier to use comoving coordinates. There simply isn't much reason to use any other coordinate system, the math is needlessly complex.
For a wonderful description of how comoving coordinates relate to other coordinate systems, and also a beautiful derivation of the R-W metric, I suggest you look at "Principles of Physical Cosmology" by Phillip Peebles. It is one of the definitive texts on cosmology.