A no-go theorem about rotation in relativity theory


Abstract
Within the framework of general relativity, in some cases at least, it is a delicate and interesting question just what it means to say that an extended body is or is not "rotating". It is so for two reasons. First, one can easily think of different criteria of rotation. Though they agree if the background spacetime structure is sufficiently simple, they do not do so in general. Second, none of the criteria fully answers to our classical intuitions. Each one exhibits some feature or other that violates those intuitions in a significant and interesting way. The principal goal of the paper is to make the second claim precise in the form of a modest no-go theorem.
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The Rotating Discs Argument Defeated.Jeremy Butterfield - 2006 - British Journal for the Philosophy of Science 57 (1):1-45.
Dust, Time and Symmetry.Gordon Belot - 2005 - British Journal for the Philosophy of Science 56 (2):255-291.
Philosophy of Physics.Elise M. Crull - 2013 - Analysis 73 (4):771-784.

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