Abstract
AbstractWe studied the causality and stability of the relativistic dissipative non-resistive magnetohydrodynamics. We perturbed the system around a global equilibrium state and linearized the system of equations to obtain the dispersion relation. The asymptotic causality conditions were found to be independent of the magnitude of the magnetic field and the direction of propagation for all the propagating modes except the shear-Alfvén modes. For the finite number density, the causality criteria remains the same with the modified sound velocity.
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