Holographic Complexity: Stretching the Horizon of an Evaporating Black Hole

Abstract

We obtain the holographic complexity of an evaporating black hole in the semi-classical RST model of two-dimensional dilaton gravity, using a volume prescription that takes into account the higher-dimensional origin of the model. For classical black holes, we recover the expected late time behaviour of the complexity, but new features arise at the semi-classical level. By considering the volume inside the stretched horizon of the evolving black hole, we obtain sensible results for the rate of growth of the complexity, with an early onset of order the black hole scrambling time followed by an extended period where the rate of growth tracks the shrinking area of the stretched horizon as the black hole evaporates.

arXiv comment14 pages including 10 figures

References in corpus (6)

• Complexity Equals Action
• Black Hole Evaporation in 1+1 Dimensions
• Liouville Models of Black Hole Evaporation
• Quantization of a Theory of 2d Dilaton Gravity
• Holographic Complexity in Vaidya Spacetimes I
• Black Hole Evolution

Cited by in corpus (8)

• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Pure de Sitter space and the island moving back in time
• Holographic Complexity of Quantum Black Holes
• Momentum/Complexity Duality and the Black Hole Interior
• Krylov Complexity of Open Quantum Systems: From Hard Spheres to Black Holes
• Action Complexity for Semi-Classical Black Holes
• The landscape of complexity measures in 2D gravity
• Black Hole Singularities from Holographic Complexity