Differentially rotating charged dust with a force-free electromagnetic field

Details Differentially rotating charged dust with a force-free electromagnetic field Differentially rotating charged dust with a force-free electromagnetic field

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..199v&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, March 11, 1984, p. 199-209. Research supported by the Nationaal Fonds vo

Physics

10

Charged Particles, Dust, Electromagnetic Fields, Newton Theory, Relativity, Rotating Matter, Einstein Equations, Field Theory (Physics), Hypergeometric Functions, Lorentz Force, Maxwell Equation

Scientific paper

The problem of a cylindrically symmetric configuration of charged rotating dust is studied under the additional assumption that the Lorentz force on a typical particle of the fluid vanishes. Exact solutions with differential rotation are presented both in Newtonian physics and in general relativity. In the Newtonian case one particular solution exists which is regular, but which has a vanishing matter density on the axis. For the relativistic case the general solutions of the problem can be given in terms of hypergeometric functions; particular families of solutions are discussed for which the relevant physical quantities are regular on the axis.

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