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Relativistic non-Abelian spinning fluids can be formulated in group theorylanguage, where the corresponding Mathisson-Papapetrou equation for spinningfluids can be obtained in terms of a specific de Sitter group contraction. Thisframework is very suitable for studying the effects of a spinning fluid ofmatter with vorticity and a spin density in a cosmological background.

Spin-density and Vorticity Contribution to the Cosmological Background