Black Holes, Cavities and Blinking Islands

• URL: http://arxiv.org/abs/2311.16244v2
• Date: Mon, 11 Nov 2024 17:54:01 GMT
• Title: Black Holes, Cavities and Blinking Islands
• Authors: Dmitry S. Ageev, Irina Ya. Aref'eva, Timofei A. Rusalev,
• Abstract summary: 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.
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• 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.

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