If you can get an intuition for what the following two quotes mean, you'll have understood most of the conceptual content of general relativity: "Space tells matter how to move; matter tells space how to curve." "Free fall is the natural state of motion."
Right but we understand those as perturbations about the “natural” linear geodesic
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Those trajectories under the influence of gravity
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perhaps I should have said “deviations” not perturbations
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