A No-Go Theorem About Rotation in Relativity Theory

Details A No-Go Theorem About Rotation in Relativity Theory A No-Go Theorem About Rotation in Relativity Theory

2000-11-27

arxiv.org/abs/gr-qc/0011094v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages including 5 figures, postscript format; to appear in a Festschrift for Howard Stein (The Incomparable Mr. Stein, ed.

Scientific paper

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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