Physics
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.5655d&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 12, 15 December 1993, pp.5655-5667
Physics
42
Electric And Magnetic Fields
Scientific paper
The 3+1 formalism of Thorne and Macdonald is used to formulate the electrodynamic equations for a plasma in a spatially flat Robertson-Walker metric. The conformal flatness of this spacetime ensures that these equations closely mirror those of flat space-time. The linearized Vlasov-Maxwell equations are solved for the case of an unmagnetized plasma of ultrarelativistic particles and antiparticles, and the results are compared with those of classical kinetic theory and quantum field theory in special relativity. The Vlasov-Maxwell equations for a plasma of nonrelativistic particles are not conformally invariant, so a fluid approximation is used to obtain the linear modes of oscillation, again for an unmagnetized plasma. The plasma modes redshift at rates which depend on the rate of expansion of the Universe, and whether the electromagnetic fields or the particles dominate the dynamics.
Dettmann Carl P.
Frankel Norman E.
Kowalenko Victor
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