Equation-of-state spinning fluids in the Einstein-Cartan theory

Statistics – Computation

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Cartan Space, Computational Astrophysics, Equations Of State, Gravitation Theory, Relativity, Rotating Fluids, Equations Of Motion, Neutron Stars, Variational Principles

Scientific paper

The relativistic fluid equations may be completed in two physically distinct methods. One method assumes the mass, rho, (or particle number) is conserved, while the other method assumes an equation of state of the form P = P(rho). A variational principle for the mass conservation method both with and without an intrinsic spin for the fluid was constructed earlier (Ray and Smalley, 1982 and 1983). A variational principle for the fluid described by an equation of state both with and without spin is formulated. In all cases the variational principle is set in the Einstein-Cartan metric-torsion U4 geometry. The results for general relativity follow as a special case.

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