Spinning fluids in general relativity

Physics

Scientific paper

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46

Angular Momentum, Relativity, Rotating Fluids, Spin Dynamics, Einstein Equations, Lagrange Multipliers, Universe, Variational Principles

Scientific paper

General relativity field equations are employed to examine a continuous medium with internal spin. A variational principle formerly applied in the special relativity case is extended to the general relativity case, using a tetrad to express the spin density and the four-velocity of the fluid. An energy-momentum tensor is subsequently defined for a spinning fluid. The equations of motion of the fluid are suggested to be useful in analytical studies of galaxies, for anisotropic Bianchi universes, and for turbulent eddies.

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