Air densisty at high altitude is a function of gravity field per larger space curvatures?

Answer 1

I think the variation in air density is more related to the pressure differential than to gravity. Air closer to the Earth's surface has more air above it, pressing it down and thus compressing it.

Answer 2

You're definitely on the right track, but your train might be going in the wrong direction.

However, if by "larger space curvatures," you mean the radii of the earth's effect on space are spreading or 'thinning' out, you're right on.

The air density at high altitudes is a function of less space deformity - and as we travel further and further into higher altitudes, we will eventually reach an altitude where there is no "density" - and no air - and the earth's effect on its atmosphere and the space has diminished almost completely.

Answer 3

I thought space curvature and gravity were synonymous. Look at Boltzmann's work to get density function.