Abstract
Magnetohydrodynamic (MHD) waves in a strongly magnetized collionless plasma are considered. Consideration is carried on for the plasma with an anisotropic pressure tensor. We have derived a closed set of MHD equations describing linear hydromagnetic waves, and found the corresponding dispersion relation. We found the general solution of the dispersion equation, and considered various special cases corresponding to various standard types of MHD waves and the firehouse instability. Alternative solutions are found by means of the equations of state derived earlier for a medium with such properties and an ultrarelativistic temperature in Tsikarishvili et al. [Phys. Rev. A 46, 1078 (1992)].
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