Breakdown of the linear approximation in the perturbative analysis of heat conduction in relativistic systems

Details Breakdown of the linear approximation in the perturbative analysis of heat conduction in relativistic systems Breakdown of the linear approximation in the perturbative analysis of heat conduction in relativistic systems

1998-03-25

arxiv.org/abs/gr-qc/9803081v1

Phys.Lett.A243:7-12,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages (Latex2.09) To appear in Physics Letters A

Scientific paper

10.1016/S0375-9601(98)00222-9

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.

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