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Black holes, cavities, and blinking islands

Nov 27, 2023

34 pages

Published in:

Phys.Rev.D 111 (2025) 2, 026002

Published: Jan 6, 2025

e-Print:

2311.16244 [hep-th]

DOI:

10.1103/PhysRevD.111.026002 (publication)

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Abstract: (APS)

Placing a black hole in a cavity provides a natural framework for exploring gravitational scales, thermodynamic instabilities, and effective gravity theories. In this paper, we examine the evolution of entanglement entropy and entanglement islands in a two-sided extension of the Schwarzschild black hole in a cavity. By introducing a reflecting boundary in the eternal black hole exteriors, we regulate the infrared modes of Hawking radiation, finding that the entanglement entropy eventually saturates at a constant value. This value can be lower than the black hole’s thermodynamic entropy, thus avoiding the Page formulation of the information paradox. Regarding entanglement islands, we identify a universal effect induced by the boundary, which we term the “blinking island”—where the entanglement island temporarily disappears, resulting in a short-time information paradox.

Note:

v1: 34 pages, 13 figures; v2: 38 pages, 14 figures, Section B added to Chapter III; v3: 38 pages, 14 figures, minor corrections

entropy: entanglement
radiation: Hawking
stability: thermodynamical
black hole: Schwarzschild
cavity
gravitation
information theory
infrared

References(79)

Figures(17)

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