The variational theory of the perfect dilaton-spin fluid in a Weyl-Cartan space

Details The variational theory of the perfect dilaton-spin fluid in a Weyl-Cartan space The variational theory of the perfect dilaton-spin fluid in a Weyl-Cartan space

1997-08-04

arxiv.org/abs/gr-qc/9708006v2

Mod.Phys.Lett. A12 (1997) 2943-2950

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 July 1997. - 10 p. The variational procedure is improved, the results being unchanged

Scientific paper

10.1142/S021773239700306X

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.

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