Toggle on or off to view space time fabric. Like the one that bends around objects, especially around black holes. I'd recommend starting with bending around stars, planets, comets, galaxies. Then to higher levels later on.
Added (22.02.2015, 01:49) --------------------------------------------- I really want to see it happen
Just to be clear, that's not actually showing space-time curvature (which is nigh impossible to visualize because it's 4-dimensional and non Euclidean), but rather what we call an "embedding diagram" which shows how a 2-dimensional slice of that space-time would look if it were embedded within flat Euclidean space. So they are a great visual aid, but just remember it's not what the space-time curvature really is. Also, a true embedding diagram of Schwarzschild geometry (the field around pretty much any astronomical object we would care about) doesn't quite look like that picture. The transition to the steep region is more smooth. You can play around with it here on Wolfram.
I am guessing that these could be done within Space-Engine, but you'd probably want an adjustable scale for showing it, because the curvature around things like stars, planets, and comets is trivially small compared to a neutron star or black hole. What seems like strong gravity to us is only a very weak warping of space-time.
So they are a great visual aid, but just remember it's not what the space-time curvature really is.
Those sorts of visualizations are the reason we have had flat 2D black holes and wormholes in science fiction for 30 years. Well that and not having the tools to properly show such things.
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