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A meaninless question, by definition the universe is all that there is to spin it must be spinning relative to something else..........
Think of it this way, use the balloons surface to define that there are no center to the universe (2D). Then define it as gravity probe B, mass warp/wrap the space around itself and if that mass also rotate it also will drag the space with it. How does it do that? It does it relative all other mass, or 'gravity' if you like to do as I So you have a 3D (4D depending) space that interact with itself. How would you now prove it all to be spinning without a 'outside referent'? Let's say we isolate a piece of 'space' and as it is defined as 'isotropic' and 'symmetric', as in being pretty much the same everywhere, obeying the same laws, I think we are free to do so. Then try to count all 'frame dragging' you see and look at if it evens out or not, if it doesn't, have we now found a 'universal angular motion'? We can't really define it like this I think, there are no reasons why everything has to be 'perfectly isotropic' from a entropic point of view, not as long as the whole of 'SpaceTime' is. And there is no way we ever will see the whole of SpaceTime, as I know. Also in Einsteins universe we have no absolute frames of reference, we have definitions we call inertial, to me speaking about uniform motion in where the only real definition is that they are at rest with 'gravity's potential' as I see it. So if you want to define a universal spin, you might have to define a absolute frame of reference first from 'where we can move the earth', or the universe, as this is about.So, anyone, do you have a better idea how we could do it?
And I agree AT, the symmetry should be about 'times arrow'. Like some 'still pictures' in where we see flows and streams (vectors sort of), and as we quickly start to flip through the pages in one direction, we find a universe, changing in its arrow. And yes MD, if we have a frame of reference relative the universe, then we might be able to assume a rotation, but how would we prove it?
Would you be escaping the blackhole into what exactly? Our Universe?