Static n-Body Problem: Definition and Explanation

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SUMMARY

The static n-body problem refers to a configuration where multiple celestial bodies maintain a gravitational balance without any movement, as described in Einstein's early static universe model. This model, prior to the introduction of the cosmological constant, suggests a dynamically stable arrangement of galaxies, stars, and gas. The concept emphasizes the interplay of attractive and repulsive gravitational fields, leading to a stable equilibrium among the bodies involved.

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What does it mean for an n-body problem to be static? I come from a mathematics background, so I don't know much about relativity, and I can't seem to find a clear, detailed definition of what a static n-body configuration is. If anyone can explain this to me, I would be very grateful. Thanks.
 
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maybe that there's a superposition of repulsive and attractive fields?
 
Most likely a "Static universe" (Einstein's first general relativistic cosmology, before modification by the cosmological constant) described at http://en.wikipedia.org/wiki/Static_universe" as "dynamically stable."

It maintains in theory a gravitational balance between galaxies, stars, gas and other astronomical objects.
 
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