Lately I've been contemplating this analogy to better explain the phenomena we call gravity to my children. Since I'm not a physicist or a mathematician, I'd like some input on the validity of my analogy.
Consider that a helium filled balloon will move from a high atmospheric pressure to a lower one. The medium in which the balloon seeks equilibrium is our atmosphere, a.k.a. air.
Just for the analogy, if we consider spacetime as a similar medium to air, we can explain that the presence of matter in this medium will create a low-pressure situation in the spacetime in which that matter exists. Therefore, it's easy to see how gravity is really a buoyancy effect on matter in the medium of spacetime. It seems like a loop in causality, since the presence of matter is what causes the low-pressure in spacetime which then causes nearby matter to be pushed by spacetime via buoyancy towards the center of the low-pressure depression.
This may seem trivial but I've always had a problem with gravity being described as a pulling force. I like to think of it as the result of spacetime density when matter is present.
To extend the analogy, I think the idea of spacetime having varying density can also explain how what we call gravity waves exist. Waves in air (sound waves) are the compression and decompression of air moving out in all directions from its point of origin. Gravity waves have this same effect on spacetime. Spacetime is compressed and decompressed in a wave pattern that travels out from the point of origin. So, shouldn't these gravity waves be called spacetime waves?
Does this compute?