Relativistic Bessel Cylinders
General Relativity and Quantum Cosmology
2015-06-23 v1
Abstract
A set of cylindrical solutions to Einstein's field equations for power law densities is described. The solutions have a Bessel function contribution to the metric. For matter cylinders regular on axis, the first two solutions are the constant density Gott-Hiscock string and a cylinder with a metric Airy function. All members of this family have the Vilenkin limit to their mass per length. Some examples of Bessel shells and Bessel motion are given.
Cite
@article{arxiv.1411.2892,
title = {Relativistic Bessel Cylinders},
author = {J. P. Krisch and E. N. Glass},
journal= {arXiv preprint arXiv:1411.2892},
year = {2015}
}