Stationary holographic plasma quenches and numerical methods for non-Killing horizons
arXiv:1212.4498 · doi:10.1103/PhysRevLett.110.171602
Abstract
We explore use of the harmonic Einstein equations to numerically find stationary black holes where the problem is posed on an ingoing slice that extends into the interior of the black hole. Requiring no boundary conditions at the horizon beyond smoothness of the metric, this method may be applied for horizons that are not Killing. As a non-trivial illustration we find black holes which, via AdS-CFT, describe a time-independent CFT plasma flowing through a static spacetime which asymptotes to Minkowski in the flow's past and future, with a varying spatial geometry in-between. These are the first explicit examples of stationary black holes which do not have Killing horizons. When the CFT spacetime slowly varies, the CFT stress tensor derived from gravity is well described by viscous hydrodynamics. For fast variation it is not, and the solutions are stationary analogs of dynamical quenches, with the plasma being suddenly driven out of equilibrium. We find evidence these flows become unstable for sufficiently strong quenches, and speculate the instability may be turbulent.
12 pages, 11 figures
References in corpus (14)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Nonlinear Fluid Dynamics from Gravity
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
- A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
- Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
- Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
- Symmetries of Higher Dimensional Black Holes
- Forced Fluid Dynamics from Gravity
- Non-equilibrium Condensation Process in a Holographic Superconductor
- Flowing Funnels: Heat sources for field theories and the AdS_3 dual of CFT_2 Hawking radiation
- Shock waves in strongly coupled plasmas
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