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Covariant description for superfluids in gravitational fields
General Relativity and Quantum Cosmology · Submitted 1 Nov 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We study the stability of the solutions for a vortexless fluid and the force acting on vortices in the fluid, which is a generalization of the well-known flat space-time Magnus force.
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The abstract, sentence by sentence
In this paper we develop a formalism to describe a superfluid in a gravitational background. This formalism is based on a covariant generalization of the field description for a superconductor in terms of a U(1) spontaneous symmetry breaking. We study the stability of the solutions for a vortexless fluid and the force acting on vortices in the fluid, which is a generalization of the well-known flat space-time Magnus force. To clarify the development we include the explicit discussion of two particular cases, one of them of astrophysical interest.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we develop a formalism to describe a superfluid in a gravitational background. | contribution 1.00 | 0.95 | 0.08 | asserted 0.98 |
| s1 | This formalism is based on a covariant generalization of the field description for a superconductor in terms of a U(1) spontaneous symmetry breaking. | method 0.97 | 0.58 | 0.07 | asserted 1.00 |
| s2 | We study the stability of the solutions for a vortexless fluid and the force acting on vortices in the fluid, which is a generalization of the well-known flat space-time Magnus force. | contribution 0.90 | 0.92 | 0.22 | asserted 0.98 |
| s3 | To clarify the development we include the explicit discussion of two particular cases, one of them of astrophysical interest. | method 0.68 | 0.90 | 0.03 | asserted 0.93 |
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Original abstract
In this paper we develop a formalism to describe a superfluid in a gravitational background. This formalism is based on a covariant generalization of the field description for a superconductor in terms of a U(1) spontaneous symmetry breaking. We study the stability of the solutions for a vortexless fluid and the force acting on vortices in the fluid, which is a generalization of the well-known flat space-time Magnus force. To clarify the development we include the explicit discussion of two particular cases, one of them of astrophysical interest.
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