Variational theory of perfect hypermomentum fluid

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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17 Dec 1996. - 14 p. The variational procedure is improved, the results being unchanged. 9 p. in single space

Scientific paper

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 special case of the dilaton-spin fluid with intrinsic spin and dilatonic charge is considered.

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