Improved perfect-fluid energy-momentum tensor with spin in Einstein-Cartan space-time

Details Improved perfect-fluid energy-momentum tensor with spin in Einstein-Cartan space-time Improved perfect-fluid energy-momentum tensor with spin in Einstein-Cartan space-time

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvl..49.1059r&link_type=abstract

Physical Review Letters, vol. 49, Oct. 11, 1982, p. 1059-1061.

Physics

64

Cartan Space, Cosmology, Ideal Fluids, Momentum Theory, Particle Spin, Relativity, Space-Time Functions, Tensor Analysis, Rotating Fluids, Thermodynamics, Torsion, Variational Principles

Scientific paper

The description of the spin given here is classical in that it is intrinsic but not quantized. The approach in this matter is similar to, for example, the work of Bailey and Israel (1973, 1975, 1979), where the fluid particles, which have intrinsic spin, may be galaxies or clusters of galaxies. The elementary particles of these objects and the 'ferromagnetic alignment' of their quantum spins are not resorted to in order to describe a fluid with spin. Physically this means that the equation of motion for the spin tensor is a modified Fermi-Walker transport equation (Misner et al., 1973), arising as a direct result of the inclusion of spin as an intrinsic variable in the thermodynamic description of the internal energy. The variables in this description are classical variables throughout and are not microscopic fields. An improved perfect-fluid energy-momentum tensor that includes spin and torsion is presented. Use is made of a Lagrangian variational principle based on the tetrad formalism of Halbwach (1960) and the method od constraints of Ray (1972).

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