According to Einstein's field equation, there should be zero curvature. But if one measures the circumference over radius for a circle perpendicular to the rotating axis and centered at the observer, the ratio would not be 2pi
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No according to Einstein equations, there should not be zero curvature. Even in vacuum, the Weyl tensor can be non-zero. – Void Jul 12 '21 at 21:20
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1Does this answer your question? Rotating Observers in Special Relativity: Coriolis-like effect? – Vincent Thacker Jul 12 '21 at 22:06
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Does this answer your question? Euclidean geometry in non-inertial frame – Vincent Thacker Jul 12 '21 at 22:09