Ask HN: How Does Relativity Apply to Rotational Motion?

I'm trying to get a clearer understanding of how relativity works. While I understand that movement is relative in terms of linear motion, I'm curious about how this applies to rotational motion. Specifically, does the absence of centrifugal force in a system indicate that there is absolutely no rotation occurring? In other words, can we use the lack of centrifugal forces as a definitive sign of non-rotation in absolute terms, or is this concept still subject to relativity?