Is first-order relativistic hydrodynamics in a general frame stable and causal for arbitrary interactions?

Causal Theory of Relativistic Dissipative Hydrodynamics

We present a new formalism for the theory of relativistic dissipative hydrodynamics, where covariance and causality are satisfied by introducing the memory effect in irreversible currents. Our theory has a much simpler structure and thus has several advantages for practical purposes compared to the Israel-Stewart theory (IS). We apply our formalism to the Bjorken model and the results are shown...

General relativistic hydrodynamics and magnetohydrodynamics: hyperbolic systems in relativistic astrophysics

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...

A first–order purely frame–formulation of General Relativity

In the gauge natural bundle framework a new space is introduced and a first–order purely frame–formulation of General Relativity is obtained. PACS number: 04.20.Fy, 11.10.-z Mathematics Subject Classification: 70S99, 83C99

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...