Bouncing inside the horizon and scrambling delays

Abstract

We study charged perturbations of the thermofield double state dual to a charged AdS black hole. We model the perturbation by a massless charged shell in the bulk. Unlike the neutral case, all such shells bounce at a definite radius, which can be behind the horizon. We show that the standard "shock wave" calculation of a scrambling time indicates that adding charge increases the scrambling time. We then give two arguments using the bounce that suggest that scrambling does not actually take longer when charge is added, but instead its onset is delayed. We also construct a boundary four point function which detects whether the shell bounces inside the black hole.

arXiv comment34 pages, 14 figures; v2: a few comments added. arXiv admin note: text overlap with arXiv:2202.04661

References in corpus (21)

• A bound on chaos
• Black holes and the butterfly effect
• Fast Scramblers
• Entanglement Renormalization and Holography
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Multiple Shocks
• Overcharging a Black Hole and Cosmic Censorship
• On geodesic propagators and black hole holography
• Notes on the complex Sachdev-Ye-Kitaev model
• Disrupting Entanglement of Black Holes
• Holographic Complexity Equals Which Action?
• Symmetries Near the Horizon
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Scrambling time from local perturbations of the eternal BTZ black hole
• Hairy black holes and the endpoint of AdS${}_4$ charged superradiance
• Uncomplexity and Black Hole Geometry
• Butterflies with rotation and charge
• Diagnosing collisions in the interior of a wormhole
• Size and momentum of an infalling particle in the black hole interior
• Collision in the interior of wormhole
• Collisions of localized shocks and quantum circuits

Cited by in corpus (7)

• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Fast Scrambling of Mutual Information in Kerr-AdS${}_4$
• Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version
• Fast Scrambling of mutual information in Kerr-AdS${}_{\text{5}}$
• Scrambling in charged hairy black holes and the Kasner interior
• Stationary Solution to Charged Hairy Black Hole in AdS4: Kasner Interior, Rotating Shock Waves, and Fast Scrambling
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics