Rotating charged dust in general relativity

Details Rotating charged dust in general relativity Rotating charged dust in general relativity

Mar 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jpha...15..831r&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 15, Mar. 1982, p. 831-840.

Physics

4

Charge Distribution, Charged Particles, Electromagnetic Fields, Relativity, Rotating Matter, Einstein Equations, Maxwell Equation, Poynting Theorem, Vorticity

Scientific paper

The paper considers a distribution of charged dust in rigid motion where the electromagnetic potential vector A super mu = kv super mu, where v super mu is the velocity vector of the dust. Such a relation makes the magnetic field vector coincident in direction with the vorticity vector. Without introducing any specific symmetry assumption, Maxwell's equations and some of the Einstein equations yield some constraints on the ratio of charge to mass density. The investigation further leads to some coordinate-independent formulas from which it seems possible to construct hitherto unknown solutions of the Einstein-Maxwell equations for distributions of charged dust for both constant and non-constant k.

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