Lagrangian dynamics of particles and fluids with intrinsic spin in Einstein-Cartan space-time

Mathematics – Logic

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

A Lagrangian formulation of equations of motion for spinning particles and fluids interacting with torsion and curvature of space-time is given. Our approach is general in the sense that it does not specify either the form of Lagrangian or the auxiliary condition. The derived energy-momentum and spin tensors have the form, which is usually postulated phenomenologically.

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