THE VARIATIONAL THEORY OF THE PERFECT DILATON-SPIN FLUID IN A WEYL-CARTAN SPACE

The variational theory of the perfect fluid with intrinsic spin and di latonic charge (dilaton-spin fluid) is developed. The spin tensor obey s the classical Frenkel condition. The Lagrangian density of such flui d is stated, and the equations of motion of the fluid, the Weyssenhoff -type evolution equation of the spin tensor and the conservation law o f the dilatonic charge are derived. The expressions of the matter curr ents of the fluid (the canonical energy-momentum three-form, the metri c stress-energy four-form and the dilaton-spin momentum three-form) ar e obtained.