Page Curve of AdS-Vaidya Model for Evaporating Black Holes
arXiv:2306.16744 · doi:10.1007/JHEP05(2024)342
Abstract
We study an evaporating black hole in the boundary conformal field theory (BCFT) model under the fully time-dependent AdS-Vaidya spacetime geometry. We introduce the time-dependent finite bath termed the effective Hawking radiation region. This is described by a nontrivial BCFT solution that acts as a time-dependent brane which we call the moving end-of-the-radiation (METR) brane that leads to a new type of Hubeny-Rangamani-Takayanagi surface. We further examine the island formulation in this particular time-dependent spacetime. The Page curve is calculated by using Holographic Entanglement Entropy (HEE) in the context of double holography.
v2: 49 pages. Typos corrected and appendices were added; paper restructured and expanded discussion for more clarity. v3: Published version
References in corpus (62)
- An Investigation of AdS Backreaction and Holography
- Massive Islands
- Inconsistency of Islands in Theories with Long-Range Gravity
- Islands in Schwarzschild black holes
- An Information Paradox and Its Resolution in de Sitter Holography
- Islands in Asymptotically Flat 2D Gravity
- Gravity/Ensemble Duality
- Holographic BCFTs and Communicating Black Holes
- Critical Islands
- Achronal averaged null energy condition
- Island in the Presence of Higher Derivative Terms
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Islands for Reflected Entropy
- Quantum BTZ black hole
- Island in Charged Black Holes
- Islands and Page curves in 4d from Type IIB
- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
- Islands and Page curves of Reissner-Nordström black holes
- Geometric secret sharing in a model of Hawking radiation
- The universality of islands outside the horizon
- The Price of Curiosity: Information Recovery in de Sitter Space
- Probing Hawking radiation through capacity of entanglement
- Quantum minimal surfaces from quantum error correction
- Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
- Replica wormholes and capacity of entanglement
- Entanglement entropy of asymptotically flat non-extremal and extremal black holes with an island
- Defect extremal surface as the holographic counterpart of Island formula
- Page curves for a family of exactly solvable evaporating black holes
- Island, Page Curve and Superradiance of Rotating BTZ Black Holes
- Causal Structures and Nonlocality in Double Holography
- Bath deformations, islands and holographic complexity
- Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
- Page Curves and Bath Deformations
- Warped Information and Entanglement Islands in AdS/WCFT
- Partial islands and subregion complexity in geometric secret-sharing model
- Multipartite Purification, Multiboundary Wormholes and Islands in AdS/CFT
- Mutual information, islands in black holes and the Page curve
- Topological shadows and complexity of islands in multiboundary wormholes
- Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity
- Page Curve for Entanglement Negativity through Geometric Evaporation
- Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands
- Page Curve of Effective Hawking Radiation
- Codimension-n Holography for Cones
- Homology Conditions for RT Surfaces in Double Holography
- Islands and mixed states in closed universes
- JT Gravity from Partial Reduction and Defect Extremal Surface
- Entanglement entropy and Page curve of black holes with island in massive gravity
- Holographic duals of evaporating black holes
- Ownerless island and partial entanglement entropy in island phases
- Defect extremal surfaces for entanglement negativity
- Page curves and Entanglement Islands for the Step-Function Vaidya Model of Evaporating Black Holes
- Quantum tasks require islands on the brane
- Cold Black Holes in the Harlow-Hayden Approach to Firewalls
- Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
- JT gravity from holographic reduction of 3D asymptotically flat spacetime
- Extracting information behind the veil of horizon
- Islands and dynamics at the interface
- Unitarity and Page curve for evaporation of 2D AdS black holes
- Rescuing Complementarity With Little Drama
- Before the Page time: maximum entanglements or the return of the monster?
- Delicate windows into evaporating black holes
- The averaged null energy condition on holographic evaporating black holes