Hyperbolic theory of relativistic conformal dissipative fluids

LUIS LEHNER; OSCAR REULA; MARCELO RUBIO

PHYSICAL REVIEW D - PARTICLE AND FILDS

American Physical Association

Año: 2018 vol. 97 p. 24013 - 24023

0556-2821

We develop a complete description of the class of conformal relativisticdissipative fluids of divergence form, following the formalismdescribed in [1] and [2]. This type of theories is fully described in termsof evolution variables whose dynamics is governed by total divergencetypeconservation laws.Specifically, we give a characterization of the whole family of conformalfluids in terms of a single master scalar function defined up tosecond order corrections in dissipative effects, which we explicitly findin general form. This allows us to identify the equilibrium states ofthe theory, as well as to derive constitutive relations and a Fourier-likelaw for the corresponding first-order theory heat flux. Finally, we showthat among this class of theories? and near equilibrium configurations?there exist symmetric hyperbolic ones, implying that for them one candefine well posed initial value problems.