Layman’s question here. Let’s say I’m standing on the inside rim of a rotating space station spun at right rate to produce earth-like gravity. Does the spinning warp space time? If so, how can a small spinning spacecraft produce the same amount of curvature as a huge mass like the earth?
It can’t be equivalent, because an astronaut floating right outside the spacecraft would not be pulled down to it, but would be pulled down to the earth.
My understanding is that from my point of view standing on the rim, my acceleration and the dilation of the circumference of the station vs it’s radius produces the local experience of a curvature, and since curvature defines gravity, I feel gravity.
Can someone let me know if I’m correct? Thanks!