Analysis of van Stockum Dust external solutions

We describe external vacuum solutions for radial cutoff of “van Stockum dust”, an infinitely long cylindrical rotating matter solution of Einstein’s equations of general relativity. These poorly explored spacetimes have been known for decades, but it seems that they have never been investigated in detail. They exhibit a number of exotic properties, which we described more fully in General Relativity and Gravitation (2016 48:121). Exotic properties include “time travel” in infinitely many cylindrical shells alternating with shells not permitting time travel. The radius of this “universe” is finite, with diverging gravitational tides and repulsion at the “edge.”



We present these and other exotic properties, and describe the required matter column if such a construction were physically realizable.