Superfluidity and Stationary Space-Times
Abstract
A connection between superfluidity and gravitation is established for physical stationary gravitational fields. We show that the spinning cosmic string metric describes the gravitational field associated with the single vortex in a superfluid condensate model for space-time outside the vortex core. This metric differs significantly from the usual acoustic metric for the Onsager-Feynman vortex. We also consider the question of what happens when many vortices are present, and show that on large scales a G\"odel-like metric emerges. In both the single and multiple vortex cases the presence of closed time-like curves is attributed to the breakdown of superfluid rigidity.
Cite
@article{arxiv.0911.2326,
title = {Superfluidity and Stationary Space-Times},
author = {George Chapline and Pawel O. Mazur},
journal= {arXiv preprint arXiv:0911.2326},
year = {2010}
}
Comments
LaTeX file, 12 pages; v2 : misprints corrected; in ref. 27 the repeating of Phys. Rev. Lett. is changed to ibid., as it should read, and the number of references is 44