On a model of an unconstrained hyperfluid

TL;DR

This paper develops a new variational model for hyperfluids that removes previous constraints on hypermomentum, leading to a self-consistent framework where energy-momentum forms coincide, differing from earlier models.

Contribution

It introduces a modified variational approach to hyperfluids that eliminates Frenkel constraints, resulting in a distinct, self-consistent hyperfluid model.

Findings

Hyperfluid hypermomentum current is conserved.

Metrical and canonical energy-momentum forms coincide.

Model differs from Weyssenhoff type hyperfluid.

Abstract

A hyperfluid is a classical continuous medium carrying hypermomentum. We modify the earlier developed variational approach to a hyperfluid in such a way that the Frenkel type constraints imposed on the hypermomentum current are eliminated. The resulting self-consistent model is different from the Weyssenhoff type one. The essential point is a conservation of the hypermomentum current such that the final metrical and canonical energy-momentum forms coincide.