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On non-Riemannian geometry of superfluids

L. C. Garcia de Andrade
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Abstract

The Gross-Pitaevski (GP) equation describing helium superfluids is extended to non-Riemannian spacetime background where torsion is shown to induce the splitting in the potential energy of the flow. A cylindrically symmetric solution for Minkowski background with constant torsion is obtained which shows that torsion induces a damping on the superfluid flow velocity. The Sagnac phase shift is computed from the superfluid flow velocity obtained from the solution of GP equations.

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L. C. Garcia de Andrade. 2003-01-05. On non-Riemannian geometry of superfluids. https://arxiv.org/abs/gr-qc/0301013

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