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arXiv · 0911.2326

Superfluidity and Stationary Space-Times

George Chapline·Pawel O. Mazur
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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.

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George Chapline, Pawel O. Mazur. 2009-11-12. Superfluidity and Stationary Space-Times. https://arxiv.org/abs/0911.2326

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