Magnetohydrodynamics in a homogeneous cosmological background

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

Magnetohydrodynamic waves through a plasma with a general equation of state P ~ ργ in the presence of a homogeneous ambient background magnetic field are studied in a general Friedmann-Robertson-Walker background universe with the metric components being an arbitrary power function of time (~tn). We find that for a suitable choice of γ and n our results reduce to those found by Holcomb and Tajima [Phys. Rev. D 40, 3809 (1989)] and later by Holcomb [Astrophys. J. 362, 381 (1990)]. Our general approach to this problem makes it possible to realize the existence of an extra term in the equation for the velocity of the fluid, which until now had remained unnoticed. This extra term has no Newtonian analogue. Unlike the usual results in magnetohydrodynamics, transverse waves traveling perpendicular to the background magnetic field are found to exist.

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