Rotating charged dust in general relativity
Abstract
The relativistic theory of axially symmetric, rotating charged dust is compared with the classical theory. The equations of motion are obtained from the field equations as compatibility conditions. It is proved that if comoving coordinates are used for a rigid rotation in which the Lorentz force does not vanish, the sigma to rho ratio and g(44) are functions of the electric potential. Two new classes of exact solutions are obtained, one being the general solution for the case of rigid rotation with vanishing Lorentz force.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 1980
 DOI:
 10.1088/03054470/13/11/019
 Bibcode:
 1980JPhA...13.3465B
 Keywords:

 Charged Particles;
 Cosmic Dust;
 Equations Of Motion;
 Lorentz Force;
 Relativity;
 Rotating Matter;
 Angular Velocity;
 Field Theory (Physics);
 Maxwell Equation;
 Newton Theory;
 Astrophysics