Nonlinear causality of general first-order relativistic viscous hydrodynamics

Relativistic viscous hydrodynamics, conformal invariance, and holography

We consider second-order viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the second-order corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) second-order transport coefficients in...

Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for standard (Glaubertype) as well as for Color-Glass-Condensate initial conditions and show that the results do not depend strongly on the values for the second-...

un 2 00 8 Causal relativistic hydrodynamics for viscous fluids ‡

We report on recent results from VISH2+1, a code that solves the relativistic Israel-Stewart equations for causal viscous hydrodynamics for heavyion collisions with longitudinal boost invariance. We find that even “minimal” shear viscosity η/s = ~/(4π) leads to a large reduction of elliptic flow compared to ideal fluid dynamics. We explore systematically the sensitivity of this reduction to the...

General relativistic hydrodynamics with a Roe solver

We present a numerical method to solve the equations of general relativistic hydrodynamics in a given external gravitational field. The method is based on a generalization of Roe’s approximate Riemann solver for the non relativistic Euler equations in Cartesian coordinates. The new method is applied to a set of standard test problems for general relativistic hydrodynamics, and is shown to perfo...

General relativistic hydrodynamics and magnetohydrodynamics: hyperbolic systems in relativistic astrophysics