Generalised Planar Black Holes and the Holography of Hydrodynamic Shear

Abstract

AdS black holes with planar event horizon topology play a central role in AdS/CFT holography, and particularly in its applications. Generalisations of the known planar black holes can be found by considering the Plebanski--Demianski metrics, a very general family of exactly specified solutions of the Einstein equations. These generalised planar black holes may be useful in applications. We give a concrete example of this in the context of the holographic description of the Quark-Gluon Plasma (QGP). We argue that our generalised planar black holes allow us to construct a model of the internal shearing motion generated when the QGP is produced in peripheral heavy-ion collisions. When embedded in string theory, the bulk physics is in fact unstable. We find however that this instability may develop too slowly to affect the evolution of the plasma, except possibly for high values of the quark chemical potential, such as will be studied in experimental scans of the quark matter phase diagram.

30 pages, 3 figures; v2: one footnote added regarding conformal flatness; version to appear in Nuclear Physics B

References in corpus (7)

• Angular momentum conservation in heavy ion collisions at very high energy
• A Rotating Holographic Superconductor
• Holographic turbulence
• Inhomogeneous holographic thermalization
• Inhomogeneous Thermalization in Strongly Coupled Field Theories
• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• Viscous potential flow analysis of peripheral heavy ion collisions

Cited by in corpus (16)

• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• A Rotation/Magnetism Analogy for the Quark-Gluon Plasma
• Angular Momentum in QGP Holography
• Inverse Magnetic/Shear Catalysis
• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Lambda Polarization in an Exact Rotating and Expanding fluid dynamical model for peripheral heavy ion reactions
• Rotation in an exact hydro model
• When Is Holography Consistent?
• Holography of the QGP Reynolds Number
• Gravity and On-Shell Probe Actions
• Holography of Little Inflation
• Fluid dynamics on ultrastatic spacetimes and dual black holes
• Field Theories Without a Holographic Dual
• On The Existence of a Holographic Description of the LHC Quark-Gluon Plasmas
• Jet Quenching in The Most Vortical Fluid: A Holographic Approach
• Isoperimetric Inequalities and Magnetic Fields at CERN