On the post-Newtonian approximation of the Einstein-Cartan-Sciama-Kibble theory

Physics

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Cartan Space, Newton Theory, Relativity, Spin, Stellar Rotation, Acceleration (Physics), Density Distribution, Field Theory (Physics), Particle Trajectories, Rotating Fluids, Stellar Structure, Torsion

Scientific paper

The post-Newtonian approximation is applied to determine the exterior trajectories of test particles for the Einstein-Cartan-Sciama-Kibble generalization of general relativity, in which torsion due to matter spin does not propagate in the vacuum. The ideal-spinning-fluid model of Hehl et al. (1976) is employed, and the torsion corrections to the fourth-order potential psi are estimated. A significant reduction (relative to earlier theories) in the mass density required of an astronomical object for matter spin to be detectable is obtained, permitting experimental detection in stars with structures known to order v-bar and verification of the theory (via the acceleration equation) in objects with structures known to the second order in sigma-bar to the mu nu.

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