Charged spin fluid in the Einstein-Cartan theory

Details Charged spin fluid in the Einstein-Cartan theory Charged spin fluid in the Einstein-Cartan theory

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.1854d&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 8, 15 April 1985, pp.1854-1859

Physics

18

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We propose a variational principle describing a charged spin fluid in the Einstein-Cartan theory. We show that this fluid can be described by the current vector Vi which has a potential decomposition and generalizes the results given by Taub. We also derive Maxwell's equations in the presence of spin and torsion. The Eulerian description of the fluid is given by an action integral whose Lagrangian is the pressure plus the free Lagrangians of the gravitational and electromagnetic fields. Finally, we analyze the circulation and Bernoulli theorems using the current vector Vi.

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