A Holographic Dual of Bjorken Flow

Abstract

We propose a consistent setup for a holographic dual of Bjorken flow of strongly coupled large-Nc N=4 SYM-theory plasma. We employ Eddington-Finkelstein type coordinates for the dual geometry, and we propose a late-time expansion there. We construct the dual geometry order by order, and we show that the transport coefficients are determined by the regularity of the geometry. We also show that the dual geometry has an apparent horizon hence an event horizon, which covers the singularity at the origin. We prove that the dual geometry is regular at all orders under an appropriate choice of the transport coefficients. Our model is a concrete well-defined example of time-dependent AdS/CFT.

50 pages. v2: typos corrected, a reference added

References in corpus (5)

• Viscous plasma evolution from gravity using AdS/CFT
• Viscous hydrodynamics relaxation time from AdS/CFT
• The stress tensor of a quark moving through N=4 thermal plasma
• On the supergravity description of boost invariant conformal plasma at strong coupling
• From static to evolving geometries -- R-charged hydrodynamics from supergravity

Cited by in corpus (18)

• A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation
• A holographic view on physics out of equilibrium
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Non-equilibrium Condensation Process in a Holographic Superconductor
• Electrified plasma in AdS/CFT correspondence
• Non-equilibrium physics at a holographic chiral phase transition
• A semi-holographic model for heavy-ion collisions
• On the apparent horizon in fluid-gravity duality
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Multioscillating black holes
• Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
• Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
• Holographic constraints on Bjorken hydrodynamics at finite coupling
• Violation of energy conditions and entropy production in holographic Bjorken flow
• Holographic dual of a boost-invariant plasma with chemical potential
• Hydrodynamization times of a holographic fluid far from equilibrium
• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach
• Superfluids in expanding backgrounds and attractor times