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How to determine if gravity is roughly linear?
The Einstein field equations are famously nonlinear, which is one of the properties that makes them difficult to solve. I know (or at least I believe) that a linear system's behavior is roughly ...
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Definition of "nonlinear" in the context of perturbation of gravity
What exactly is the definition of a nonlinear perturbation when applied to a background spacetime metric?
I have seen so called "linear perturbations" which look like
$$ds^2 = -(1+2\Phi)dt^2 ...
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