Complexity Near Horizons

Abstract

We generalize the concept of complexity near horizons to all nondegenerate black holes. For Schwarzschild black holes, we show that Rindler observers see a complexity change of $S$ during proper time $1/\kappa$ which corresponds to the creation of a causal patch with proper length $1/\kappa$ inside the horizon. We attempt to describe complexity in the horizon CFT and the Euclidean picture.

arXiv comment15 pages

References in corpus (13)

• Black holes and the butterfly effect
• Black holes as mirrors: quantum information in random subsystems
• Complexity and Shock Wave Geometries
• Localized shocks
• Multiple Shocks
• Anti De Sitter Space And Holography
• Some Speculations about Black Hole Entropy in String Theory
• Butterflies on the Stretched Horizon
• Black Holes as Conformal Field Theories on Horizons
• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes
• Rindler Energy is Wald Entropy
• On the Holographic Nature Of Rindler Energy
• Predictive Interval Models for Non-parametric Regression

Cited by in corpus (2)

• Butterflies with rotation and charge
• On Complexity of Holographic Flavors