Hyperbolic theory of conformal relativistic dissipative fluids

LEHNER, LUIS; RUBIO, MARCELO E.; REULA, OSCAR A.

Conferencia; V CosmoSul - Cosmology and Gravitation in the Southern Cone; 2017

We develop a complete description of the class of conformal relativistic dissipative fluids of divergence form, following the formalism described by R. Geroch, L. Lindblom and S. Pennisi. This type of theory is fully described in terms of evolution variables whose dynamics are governed by total divergence-type conservation laws. Specifically, we give a characterization of the whole family of conformal fluids in terms of a single master scalar function defined up to second-order corrections in dissipative effects, which we explicitly find in general form. This allows us to identify the equilibrium states of the theory and derive constitutive relations and a Fourier-like law for the corresponding first-order theory heat flux. Finally, we show that among this class of theories?and near equilibrium configurations?there exist symmetric hyperbolic ones, implying that for them one can define well-posed initial value problems.