Entanglement island and Page curve for one-sided charged black hole

• Published in: The journal of high energy physics Vol. 2024; no. 8; pp. 23 - 25
• Main Authors: Qu, Yun-Feng, Lan, Yi-Ling, Yu, Hongwei, Gan, Wen-Cong, Shu, Fu-Wen
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 05-08-2024; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black Holes; Classical and Quantum Gravitation; Elementary Particles; Entanglement; Entropy; Gauge-Gravity Correspondence; Gravitational collapse; Hawking radiation; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Radiation; Regular Article - Theoretical Physics; Relativity Theory; String Theory; AdS-CFT Correspondence; Gauge-Gravity Correspondence; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP08(2024)023

A
bstract
In this paper, we extend the method of calculating the entanglement entropy of Hawking radiation of black holes using the “in” vacuum state, which describes one-sided asymptotically flat neutral black hole formed by gravitational collapse, to dynamic charged black holes. We explore the influence of charge on the position of the boundary of island
∂I
and the Page time. Due to their distinct geometric structures, we discuss non-extremal and extremal charged black holes separately. In non-extremal cases, the emergence of island saves the bound of entropy at late times, and the entanglement entropy of Hawking radiation satisfies the Page curve. Moreover, we also find that the position of the boundary of island
∂I
depends on the position of the cutoff surface (observers), differing from the behavior in eternal charged black holes. In extremal black holes, when the island exists, the entanglement entropy is approximately equal to the Bekenstein-Hawking entropy, while the entanglement entropy becomes ill-defined when island is absent. Our analysis underscores how different geometric configurations significantly influence the behavior of entropy.