26 de março de 2018 | Altas Energias, Publicações

Analytical Attractor and the Divergence of the Slow-Roll Expansion in Relativistic Hydrodynamics

G. S. Denicol, J. Noronha

PHYSICAL REVIEW D, v. 97, p. 056021, 2018

26/03/2018

Abstract

We find the general analytical solution of the viscous relativistic hydrodynamic equations (in the absence of bulk viscosity and chemical potential) for a Bjorken expanding fluid with an ideal gas equation of state and a constant shear viscosity relaxation time. We analytically determine the hydrodynamic attractor of this fluid and discuss its properties. We show for the first time that the slow-roll expansion, a commonly used approach to characterize the attractor, diverges. This is shown to hold also in a conformal plasma. The gradient expansion is found to converge in an example where causality and stability are violated.

10.1103/PhysRevD.97.056021