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 dilatonic charge (dilaton-spin fluid) is developed. The spin tensor obeys the classical Frenkel condition. The Lagrangian density of such fluid is stated, and the equations of motion of the fluid, the Weyssenhoff-type evolution equation of the spin tensor and the conservation law of the dilatonic charge 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 dilaton-spin momentum 3-form) are obtained.Comment: 25 July 1997. - 10 p. The variational procedure is improved, the results being unchange

Gauss-Bonnet type identity in Weyl-Cartan space

The Gauss-Bonnet type identity is derived in a Weyl-Cartan space on the basis of the variational method.Comment: 5 page

Perfect fluid and test particle with spin and dilatonic charge in a Weyl-Cartan space

The equation of perfect dilaton-spin fluid motion in the form of generalized hydrodynamic Euler-type equation in a Weyl-Cartan space is derived. The equation of motion of a test particle with spin and dilatonic charge in the Weyl-Cartan geometry background is obtained. The peculiarities of test particle motion in a Weyl-Cartan space are discussed.Comment: 25 July 1997. - 9 p. Some corrections in the text and formulars (2.4) and (2.8) are perfomed, the results being unchange