The variational theory of perfect fluid with intrinsic hypermomentum in space-time with nonmetricity

TL;DR

This paper develops a variational framework for perfect fluids with intrinsic hypermomentum in space-times exhibiting nonmetricity, deriving their equations of motion and matter currents.

Contribution

It introduces a novel variational approach for fluids with hypermomentum in nonmetric space-times, including explicit equations and matter current expressions.

Findings

Derived equations of motion for hypermomentum fluids.

Expressed matter currents including stress-energy and hypermomentum forms.

Established a theoretical foundation for fluids with intrinsic hypermomentum in nonmetric geometries.

Abstract

The variational theory of the perfect fluid with an intrinsic hypermomentum is developed. The Lagrangian density of such fluid is stated and the equations of motion of the fluid and the evolution equation of the hypermomentum tensor are derived. The expressions of the matter currents of the fluid (the metric stress-energy 4-form, the canonical energy-momentum 3-form and the hypermomentum 3-form) are obtained.