Islands in Kaluza-Klein black holes

Abstract

The newly proposed island formula for entanglement entropy of Hawking radiation is applied to spherically symmetric 4-dimensional eternal Kaluza-Klein (KK) black hole. The "charge" $Q$ of KK black holes quantifies its deviation from Schwarzschild black holes. The impact of $Q$ on the island is studied at late times. The late-time island, whose boundary is located outside but within a Planckian distance of the horizon, is slightly extended by $Q$. While the no-island entropy grows linearly, the late-time entanglement entropy is given by island configuration with twice the Bekenstein-Hawking entropy. Thus we reproduce the Page curve for the eternal KK black holes. Compared with Schwarzschild results, the Page time is delayed by a factor $(1+Q/r_h)$ and the scrambling time is prolonged by a factor $(1+Q/r_h{)}^{1/2}$. Moreover, the higher-dimensional generalization is presented. Skeptically, there are Planck length scales involved, in which a semi-classical description may break down.

arXiv comment20 pages, 3 figures; Corrected some mistakes including the missing of the modification of the horizon area and the discussion of the case if island is inside the horizon

References in corpus (50)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Covariant Holographic Entanglement Entropy Proposal
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Average Entropy of a Subsystem
• Eternal Black Holes in AdS
• Black holes as mirrors: quantum information in random subsystems
• Cool horizons for entangled black holes
• Generalized gravitational entropy
• Information in Black Hole Radiation
• Fast Scramblers
• Replica Wormholes and the Entropy of Hawking Radiation
• On Geometric Entropy
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• The entropy of Hawking radiation
• Entanglement entropy in free quantum field theory
• Jerusalem Lectures on Black Holes and Quantum Information
• Time Dependence of Hawking Radiation Entropy
• Massive Islands
• Information Transfer with a Gravitating Bath
• On the Unification Problem in Physics
• Entanglement islands in higher dimensions
• Islands outside the horizon
• Islands in Schwarzschild black holes
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• An Information Paradox and Its Resolution in de Sitter Holography
• Page Curve for an Evaporating Black Hole
• Islands in de Sitter space
• Critical Islands
• Models of AdS_2 Backreaction and Holography
• Island in the Presence of Higher Derivative Terms
• Island in Charged Black Holes
• Islands and stretched horizon
• Entanglement between two disjoint universes
• Comments on wormholes, ensembles, and cosmology
• No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs
• Islands in Linear Dilaton Black Holes
• Page curves for a family of exactly solvable evaporating black holes
• Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
• General Rotating Charged Kaluza-Klein AdS Black Holes in Higher Dimensions
• Island may not save the information paradox of Liouville black holes
• Entanglement between two gravitating universes
• Killing Spinors for the Bosonic String and the Kaluza-Klein Theory with Scalar Potentials
• Entanglement island, miracle operators and the firewall
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• A Correspondence between Ricci-flat Kerr and Kaluza-Klein AdS Black Hole

Cited by in corpus (17)

• Inconsistency of Islands in Theories with Long-Range Gravity
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• The universality of islands outside the horizon
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
• Cosmological and black hole islands in multi-event horizon spacetimes
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Page Curve of Effective Hawking Radiation
• The Markov gap in the presence of islands
• Unitary Constraints on Semiclassical Schwarzschild Black Holes in the Presence of Island
• Entanglement entropy and Page curve of black holes with island in massive gravity
• Defect extremal surfaces for entanglement negativity
• Entanglement between two evaporating black holes
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• A comment on a fine-grained description of evaporating black holes with baby universes
• Encoded information of mixed correlations: the views from one dimension higher