Configurations with a vector field in the EinsteinCartan theory
Abstract
The properties of selfgravitating distributions of an ideal fluid charged by a vector field which is either massive or massless, i.e., electromagnetic, are considered taking account of the spin properties of the vector field in the framework of the EinsteinCartan theory of gravitation. Conditions for equilibrium are found and the corresponding exact solutions are obtained. A complete system of first integrals of the corresponding equations of motion is found for dynamical distributions in the absence of pressure. A theorem on the correspondence between the dynamics of an electrically charged ideal fluid with a limiting equation of state and the dynamics of a free massive vector field is also proved.
 Publication:

Soviet Physics Journal
 Pub Date:
 August 1979
 DOI:
 10.1007/BF00889662
 Bibcode:
 1979SvPhJ..22..809K