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We investigate the propagation of electromagnetic waves in resistive pairplasmas using a onefluid theory derived from the relativistic two-fluidequations. When the resistivity normalized by the electron/positron inertiavariable exceeds a critical value, the dispersion relation for electromagneticwaves shows that the group velocity is larger than the light speed in vacuum.However, in such a case, it also is found that the plasma parameter is lessthan unity: that is, the electron-positron pair medium no longer can be treatedas plasma. Thus the simple two-fluid approximation is invalid. This confirmsthat superluminal propagation of electromagnetic wave is forbidden in a plasma-- a conclusion consistent with the relativistic principle of causality. As analternative, we propose a new set of equations for ``causal relativisticmagnetohydrodynamics", which both have non-zero resistivity and yet areconsistent with the causality principle.

Propagation of Electromagnetic Waves in Resistive Pair Plasma and Causal Relativistic Magnetohydrodynamics