Page Curve for an Evaporating Black Hole

Abstract

A Page curve for an evaporating black hole in asymptotically flat spacetime is computed by adapting the Quantum Ryu-Takayanagi (QRT) proposal to an analytically solvable semi-classical two-dimensional dilaton gravity theory. The Page time is found to be one third of the black hole lifetime, at leading order in semi-classical corrections. A Page curve is also obtained for a semi-classical eternal black hole, where energy loss due to Hawking evaporation is balanced by an incoming energy flux.

arXiv commentv1: 21 pages of text, 5 figures. v2: edited typos and references

References in corpus (13)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Covariant Holographic Entanglement Entropy Proposal
• Information in Black Hole Radiation
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Linear Dilatons, NS5-branes and Holography
• Time Dependence of Hawking Radiation Entropy
• Information radiation in BCFT models of black holes
• Semiclassical decay of near extremal fivebranes
• Evaporation of large black holes in AdS: coupling to the evaporon

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