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arXiv · 1912.03976

A variational approach to relativistic superfluid vortex elasticity

N. Andersson·S. Wells·G. L. Comer
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Abstract

It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors and radio pulsar glitches to possible dark matter condensates on galactic scales. This paper develops a formalism for such systems, extending the well-established variational approach to relativistic fluids to account for the presence of a collection of quantized vortices. The model is firmly anchored in the geometry of the problem (drawing on aspects from basic string dynamics) and accounts for elastic aspects associated with a vortex array, providing a precise foundation for applications which have so far been based on somewhat ad hoc phenomenology.

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N. Andersson, S. Wells, G. L. Comer. 2019-12-09. A variational approach to relativistic superfluid vortex elasticity. https://doi.org/10.1088/1361-6382%2Fab79d7

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