Summary
The equations of motion of spinning particles are obtained in the post-Newtonian approximation of the Einstein-Cartan theory. The starting point of the calculation is the Hehl combined equation and a semi-classical model is assumed for the system of spinning particles. Comparison is made with an analogous quantum result obtained in the context of Gupta quantization of the linearized Einstein theory.
Riassunto
Si ottengono le equazioni del moto di un sistema di particelle dotate di spin nell’approssimazione postnewtoniana della teoria di Einstein-Cartan. La base del calcolo è costituita dall’equazione combinata di Hehl, usando un modello semiclassico per il sistema di particelle, dotate di spin. Si confronta il risultato, ottenuto con uno analogo quantistico derivato nel contesto della quantizzazione di Gupta della teoria linearizzata di Einstein.
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This work has been done with a CNR scholarship.
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Boccaletti, D., Agostini, W. & Festa, P. The motion of spinning particles. post-Newtonian approximation in the Einstein-Cartan theory. Nuov Cim B 49, 45–54 (1979). https://doi.org/10.1007/BF02737473
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DOI: https://doi.org/10.1007/BF02737473