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On non-Riemannian geometry of superfluids

2003/01/05 by L. C. García de Andrade, L. C. Garcia de Andrade, de Andrade, L. C. Garcia
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum, superfluid, helium dynamics #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0301013

Latex file

arxiv created 2003/01/05 · openalex publication_date 2003/01/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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