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What is the observer's reference frame for this kind of a picture?

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These grid lines are shown as curved around the massive object that is the Earth.

I appreciate that they are an attempt to show 4D and so this picture is non representative (very incomplete) on that account but I want to ask specifically  what observer could have drawn those lines?

Someone far removed from Earth's gravity? That is how such an  observer would draw a "straight line"  in the vicinity of the Earth? An observer on the Earth would draw different  "straight lines"? Correct?

Edited by geordief

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