Abstract
A relativistic kinetic theory of parallel longitudinal and transverse waves in magnetized, equilibrium pair plasma is presented. On the basis of the relativistic Maxwell–Vlasov equation, the general dispersion relations for parallel propagating waves in equilibrium pair plasmas are derived by a correct analytical continuation on the whole complex frequency plane. These are used to prove that no parallel growing waves exist in magnetized pair plasma with isotropic distribution function. Only superluminal transverse waves with frequencies larger than a critical value depending on the magnetic field, undergo no Landau damping.
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