Delicate windows into evaporating black holes
Ben Craps, Juan Hernandez, Mikhail Khramtsov, Maria Knysh

TL;DR
This paper investigates how information about an evaporating AdS$_2$ black hole can be retrieved from Hawking radiation, analyzing phase transitions, entropy evolution, and complexity to understand interior access over time.
Contribution
It refines the understanding of island phase transitions and interior access for finite radiation segments, including the effects of the purifier and parameter sensitivity.
Findings
Established island phase transition for semi-infinite radiation segments.
Identified four entropy evolution scenarios for finite radiation segments.
Analyzed the sensitivity of the Page curve to model parameters.
Abstract
We revisit the model of an AdS black hole in JT gravity evaporating into an external bath. We study when, and how much, information about the black hole interior can be accessed through different portions of the Hawking radiation collected in the bath, and we obtain the corresponding full quantitative Page curves. As a refinement of previous results, we describe the island phase transition for a semi-infinite segment of radiation in the bath, establishing access to the interior for times within the regime of applicability of the model. For finite-size segments in the bath, one needs to include the purifier of the black hole microscopic dual together with the radiation segment in order to access the interior information. We identify four scenarios of the entropy evolution in this case, including a possibility where the interior reconstruction window is temporarily interrupted.…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect
