Abstract The approach of extended irreversible thermodynamics consists promoting the dissipative fluxes to non-equilibrium thermodynamic variables. In a relativistic context, this naturally leads formulation theory Israel and Stewart (1979), which is, date, one most successful theories for dissipation. Although generality principle makes it applicable any fluid, connection Israel–Stewart with m...

Implementation details and test cases of a newly developed hydrodynamic code, amra, are presented. The numerical scheme exploits the adaptive mesh refinement technique coupled to modern high-resolution schemes which are suitable for relativistic and non-relativistic flows. Various physical processes are incorporated using the operator splitting approach, and include self-gravity, nuclear burnin...

We study the shear mode in the gauge/gravity correspondence at finite temperature. First, we confirm the general formula for the shear viscosity in an arbitrary background metric which includes a black hole in the fifth dimension. We then derive a general formula for the shear mode relaxation time which appears in the theory of relativistic dissipative fluid dynamics; it agrees with known expre...