Motion of a rigidly rotating circle in terms of Minkowski geometry

Details Motion of a rigidly rotating circle in terms of Minkowski geometry Motion of a rigidly rotating circle in terms of Minkowski geometry

Dec 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.3693b&link_type=abstract

General Relativity and Gravitation, Volume 43, Issue 12, pp.3693-3703

Other

Minkowski Geometry, Rigid Rotational Motion, Proper Path, Invariant Angular Measure

Scientific paper

It is my great pleasure to dedicate this article to Josh Goldberg, a long-standing friend of mine. In terms of special theory of relativity, a discussion of a geometric model representing a rigidly rotating circle of material particles is given. It is shown that the ratio of the proper length of the spatial circumference of the circle to its radius is the same as in the case of a circle that is at rest relative to a global inertial frame of reference when the circumference is measured in terms of invariants determined by a set of local inertial observers who are momentarily comoving with the particles at equal values of their proper times which are synchronized in turn by every pair of neighbouring observers one after the other.

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