Perfect hypermomentum fluid: variational theory and equations of motion

Details Perfect hypermomentum fluid: variational theory and equations of motion Perfect hypermomentum fluid: variational theory and equations of motion

2004-05-25

arxiv.org/abs/gr-qc/0405124v1

Int.J.Mod.Phys. A13 (1998) 5391-5407

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTEX, 23 pages, no figures

Scientific paper

10.1142/S0217751X98002444

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 Euler-type hydrodynamic equation of motion of the perfect hypermomentum fluid is derived. It is proved that the motion of the perfect fluid without hypermomentum in a metric-affine space coincides with the motion of this fluid in a Riemann space.

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