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Spinning fluids in the Einstein-Cartan theory: A variational formulation

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Abstract

In this work we propose a lagrangian for spinning fluids in the Einstein-Cartan theory. The basic characteristic of the model is to consider each infinitesimal volume element as replicas of micro-rigid bodies. The theory obtained represents the thermodynamical equilibrium limit of a more general situation where dissipative processes due to spin take place. We outline the extension of such processes to the Einstein-Cartan theory.

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de Oliveira, H.P. Spinning fluids in the Einstein-Cartan theory: A variational formulation. Gen Relat Gravit 25, 473–481 (1993). https://doi.org/10.1007/BF00756966

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