Physics – Plasma Physics
Scientific paper
May 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..363a&link_type=abstract
General Relativity and Gravitation, vol. 12, May 1980, p. 363-371. Research supported by the Consiglio Nazionale delle Ricerche
Physics
Plasma Physics
1
Cosmic Plasma, Electromagnetic Fields, Field Theory (Physics), Magnetohydrodynamics, Plasma Physics, Relativity, Universe, Electrical Resistivity, Electrodynamics, Incompressible Flow, Magnetic Fields, Maxwell Equation, Tensor Analysis, Thermodynamics, Transformations (Mathematics)
Scientific paper
The methods of classical projective geometry are applied to the de Sitter universe S4 with constant curvature, and the resulting magnetohydrodynamics is examined. Motions of the de Sitter universe in its flat geodetic representation are represented by transformations of the Fantappie group, and it is shown that in the projective relativity presented, the electromagnetic field and the hydrodynamical field are unified in a single magnetohydrodynamics tensor. Decompositions of the magnetohydrodynamics field for incompressible perfect fluids in the absence of magnetic monopoles into a hydrodynamical field and an electromagnetic field and into a magnetic field and an electrohydrodynamics field are analyzed. The projective hydrodynamics and thermohydrodynamics of perfect fluids are then examined as special cases of projective magnetohydrodynamics, together with ideal projective magnetohydrodynamics, in which the magnetohydrodynamics field reduces to the magnetic field, and projective electromagnetism and electrohydrodynamics.
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