The rigidly rotating relativistic dust cylinder
Abstract
The solution of van Stockum consists of a rotating dust interior, and three exterior metrics referring to different ranges of the mass per unit length. It has been stated in the literature that the exterior is static, but it is proved here that this is so only in the lowmass case. An examination of the Riemann tensor shows that van Stockum's spacetime is free from singularities and matter at radial infinity below a certain value of the mass per unit length. The ultrarelativistic case, which has closed timelike lines, can occur at physically possible densities and radii.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 June 1980
 DOI:
 10.1088/03054470/13/6/033
 Bibcode:
 1980JPhA...13.2121B
 Keywords:

 Astrophysics;
 Cosmic Dust;
 Metric Space;
 Relativistic Particles;
 Rotating Cylinders;
 SpaceTime Functions;
 Angular Momentum;
 Mass Distribution;
 Relativity;
 Riemann Manifold;
 Tensor Analysis;
 Astrophysics