Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics

Gabriel S. Denicol, Jorge Noronha

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number054501
JournalPhysical Review D
Volume97
Issue number5
DOIs
StatePublished - Mar 1 2018
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint

Dive into the research topics of 'Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics'. Together they form a unique fingerprint.

Cite this