Breakdown of the linear approximation in the perturbative analysis of heat conduction in relativistic systems
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We analyze the effects of thermal conduction in a relativistic fluid just after its departure from spherical symmetry, on a time scale of the order of relaxation time. Using first order perturbation theory, it is shown that, as in spherical systems, at a critical point the effective inertial mass density of a fluid element vanishes and becomes negative beyond that point. The impact of this effect on the reliability of causality conditions is discussed.
11 pages (Latex2.09) To appear in Physics Letters A
11 pages (Latex2.09) To appear in Physics Letters A