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Driven black holes: from Kolmogorov scaling to turbulent wakes
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General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady turbulent spacetime dynamics consistent with Kolmogorov's theory of 1941. As a proof of principle we focus on black holes in asymptotically anti-de Sitter spacetimes in a large number of dimensions, where greater analytic control is gained. We also demonstrate that tidal deformations of the horizon induce turbulent dynamics. When set in motion relative to the horizon a deformation develops a turbulent spacetime wake, indicating that turbulent spacetime dynamics may play a role in binary mergers and other strong-field phenomena.
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Holographic Turbulence and Numerical Estimate of the Fractal Dimension of the Turbulent Horizon
A driven holographic black hole exhibits turbulence whose horizon has fractal dimension D≈2.65 and whose dual fluid energy spectrum scales as k^{−1.79}.
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