Physics
Scientific paper
Jun 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976nciml..16..210s&link_type=abstract
Nuovo Cimento, Lettere, vol. 16, June 12, 1976, p. 210-212.
Physics
2
Axisymmetric Flow, Gravitational Fields, Relativistic Effects, Rotating Plasmas, Angular Velocity, Electromagnetic Fields, Lines Of Force, Magnetic Fields, Maxwell Equation
Scientific paper
The author points out that a differentially rotating plasma, presupposing stationarity and axial symmetry, will in the presence of a strong gravitational field and general relativistic conditions isorotate according to Ferraro's (1937) theorem, that is, the rate of change of the azimuthal angle with time is constant along the magnetic field lines. This is shown simply on the consideration that if the angular velocity did vary along a magnetic field line, the line would be distorted in time, which would contradict the axial symmetry and stationarity of the magnetic field. Nor does the presence of a strong gravitational field change the picture of frozen-in field lines. The isorotation theorem is then proved for general relativity by considering the source-free Maxwell equations and the assumption of infinite conductivity.
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