Black Holes, Cavities and Blinking Islands
Abstract
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 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.
Cite
@article{arxiv.2311.16244,
title = {Black Holes, Cavities and Blinking Islands},
author = {Dmitry S. Ageev and Irina Ya. Aref'eva and Timofei A. Rusalev},
journal= {arXiv preprint arXiv:2311.16244},
year = {2024}
}
Comments
v1: 34 pages, 13 figures; v2: 38 pages, 14 figures, Section B added to Chapter III; v3: 38 pages, 14 figures, minor corrections