The Weyssenhoff fluid in Einstein-Cartan theory

Mathematics – Logic

Scientific paper

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Astronomical Models, Cartan Space, Cosmology, Gravitation Theory, Relativistic Theory, Rotating Fluids, Einstein Equations, Riemann Manifold, Variational Principles

Scientific paper

The variational theory of an ideal spinning fluid is developed. This is described by original Weyssenhoff-Raabe tensors of spin and energy-momentum. Both neutral and charged fluids are considered, and the equations of motion and conservation laws for the Weyssenhoff neutral fluid in the Riemann-Cartan spacetime are discussed. The results are applied to the study of cosmological models with rotation, shear and expansion in the framework of the Einstein-Cartan theory of gravity.

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