Butterflies with rotation and charge

Abstract

We explore the butterfly effect for black holes with rotation or charge. We perturb rotating BTZ and charged black holes in 2+1 dimensions by adding a small perturbation on one asymptotic region, described by a shock wave in the spacetime, and explore the effect of this shock wave on the length of geodesics through the wormhole and hence on correlation functions. We find the effect of the perturbation grows exponentially at a rate controlled by the temperature; dependence on the angular momentum or charge does not appear explicitly. We comment on issues affecting the extension to higher-dimensional charged black holes.

20 pages, 10 figures

References in corpus (3)

• Disrupting Entanglement of Black Holes
• Black Holes, Entanglement and Random Matrices
• Complexity Near Horizons

Cited by in corpus (23)

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• Higher Dimensional Generalizations of the SYK Model
• Horizon constraints on holographic Green's functions
• On the Chaos Bound in Rotating Black Holes
• Chaos in the butterfly cone
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• Quasi-Topological Ricci Polynomial Gravities
• Complexity growth of rotating black holes with a probe string
• Scrambling time from local perturbations of the rotating BTZ black hole
• Butterfly Velocity Bound and Reverse Isoperimetric Inequality
• Rotating black hole with a probe string in Horndeski Gravity
• Fast Scrambling due to Rotating Shockwaves in BTZ
• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Shock waves, black hole interiors and holographic RG flows
• Soldering freedom and BMS-like transformations
• Holographic Butterfly Velocities in Brane Geometry and Einstein-Gauss-Bonnet Gravity with Matters
• Correlations vs connectivity in R-charge
• Bouncing inside the horizon and scrambling delays
• Butterfly Effect and Holographic Mutual Information under External Field and Spatial Noncommutativity
• Worldsheet traversable wormholes
• Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
• Butterfly Velocity in Quadratic Gravity
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics