Explicit Relativistic Vortex Solutions for Cool Two-Constituent Superfluid Dynamics

TL;DR

This paper presents explicit stationary vortex solutions for a cool two-component superfluid, analyzing their impact on the stress-energy tensor, advancing understanding of superfluid vortex dynamics.

Contribution

It introduces a class of explicit solutions for vortex configurations in a two-component superfluid with phonons, characterized by constants of integration.

Findings

Derived explicit vortex solutions for superfluids with phonons.

Computed the asymptotic stress-energy contribution of vortices.

Provided a framework for analyzing vortex effects in superfluid dynamics.

Abstract

We give a class of explicit solutions for the stationary and cylindrically symmetric vortex configurations for a ``cool'' two-component superfluid (i.e. superfluid with an ideal gas of phonons). Each solution is characterized only by a set of (true) constants of integration. We then compute the effective asymptotic contribution of the vortex to the stress energy tensor by comparison with a uniform reference state without vortex.