  Relativistic rotation is considered in the limit of angular velocity
approaching zero and radial distance approaching infinity, such that
centrifugal acceleration is immeasurably small while tangent velocity remains
close to the speed of light. For this case, the predictions of the traditional
approach to relativistic rotation using local co-moving Lorentz frames are
compared and contrasted with those of the differential geometry based
non-time-orthogonal analysis approach. Different predictions by the two
approaches imply that only the non-time-orthogonal approach is valid.
