Variational theory of perfect hypermomentum fluid

TL;DR

This paper develops a variational framework for perfect hypermomentum fluids, introducing a generalized Frenkel condition, deriving equations of motion, and exploring special cases like dilaton-spin fluids with intrinsic spin and dilatonic charge.

Contribution

It presents a novel variational approach to hypermomentum fluids, including new equations of motion and a generalized Frenkel condition, expanding the theoretical understanding of such fluids.

Findings

Derived equations of motion for hypermomentum fluids.

Formulated the Lagrangian density for the fluid.

Analyzed the dilaton-spin fluid case.

Abstract

The variational theory of the perfect hypermomentum fluid is developed. The new type of the generalized Frenkel condition is considered. The Lagrangian density of such fluid is stated, and the equations of motion of the fluid and the Weyssenhoff-type evolution equation of the hypermomentum tensor are derived. The expressions of the matter currents of the fluid (the canonical energy-momentum 3-form, the metric stress-energy 4-form and the hypermomentum 3-form) are obtained. The special case of the dilaton-spin fluid with intrinsic spin and dilatonic charge is considered.