Europhys. Lett., 63 (5) , pp. 649-652 (2003)
Superfluids in non-Riemannian spacetime backgroundL. C. Garcia de Andrade
Departamento de Física Teórica, Instituto de Física, UERJ Rua São Fco. Xavier 524, Rio de Janeiro, RJ Maracanã, CEP:20550-003, Brasil email@example.com
(Received 6 May 2003; accepted 20 June 2003)
The Gross-Pitaevski (GP) equation describing helium superfluids (Bose-Einstein condensate) 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 in the superfluid flow velocity. Since the exponential damping is a pure torsion effect, it is suggested that this effect could be used on a superfluid experiment to detect torsion.
04.20.-q - Classical general relativity.
04.50.+h - Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity.
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