Differentially rotating charged dust with a force-free electromagnetic field. II

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

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..399w&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, July 11, 1984, p. 399-402. Research supported by the Nationaal Fonds voo

Computer Science

5

Charged Particles, Cosmic Dust, Electromagnetic Fields, Lorentz Force, Rotating Matter, Differential Equations, Hypergeometric Functions

Scientific paper

The relativistic field equations for stationary axisymmetric differentially rotating charged dust with vanishing Lorentz force are derived and reduced to a single partial differential equation. It is found that the ratio of charge density to mass density in this system can only be constant throughout space-time if it is cylindrically symmetric. In that case, solutions have been shown to exist and to be completely described by hypergeometric functions (Van den Bergh and Wils, 1984).

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