Spatial geometry of the rotating disk and its nonrotating counterpart
Abstract
A general relativistic description of a disk rotating at constant angular velocity is given. It is argued that describing this situation using general relativity poses fewer conceptual problems than using special relativity. For observers on the disk, the geometry of their proper space is hyperbolic. This has interesting consequences concerning their interpretation of the geometry of a nonrotating disk with the same radius. The influence of clock synchronization on spatial measurements is discussed.
 Publication:

American Journal of Physics
 Pub Date:
 September 2012
 DOI:
 10.1119/1.4730925
 arXiv:
 arXiv:1109.2488
 Bibcode:
 2012AmJPh..80..772K
 Keywords:

 angular velocity;
 general relativity;
 physics education;
 relativistic mechanics;
 spatial variables measurement;
 special relativity;
 03.30.+p;
 04.00.00;
 Special relativity;
 General relativity and gravitation;
 Physics  Popular Physics;
 General Relativity and Quantum Cosmology;
 Physics  Physics Education
 EPrint:
 10 pages, 3 figures, this is the version accepted by American Journal of Physics