Hyperfluid - a model of classical matter with hypermomentum

TL;DR

This paper develops a variational theory for hyperfluid, a classical matter model with hypermomentum, and explores its implications as a source in metric-affine gravity, providing explicit hyperfluid currents under the Weyssenhoff ansatz.

Contribution

It introduces a new variational framework for hyperfluid with hypermomentum and derives explicit hyperfluid currents in metric-affine gravity.

Findings

Hyperfluid sources are determined by conservation identities.

Explicit hyperfluid currents are obtained using the Weyssenhoff ansatz.

The structure of matter sources in metric-affine gravity is clarified.

Abstract

A variational theory of a continuous medium is developed the elements of which carry momentum and hypermomentum (hyperfluid). It is shown that the structure of the sources in metric-affine gravity is predetermined by the conservation identities and, when using the Weyssenhoff ansatz, these explicitly yield the hyperfluid currents.