Islands in Kaluza-Klein black holes
Abstract
The newly proposed island formula for entanglement entropy of Hawking radiation is applied to spherically symmetric 4-dimensional eternal Kaluza-Klein (KK) black hole. The "charge" of KK black holes quantifies its deviation from Schwarzschild black holes. The impact of on the island is studied at late times. The late-time island, whose boundary is located outside but within a Planckian distance of the horizon, is slightly extended by . While the no-island entropy grows linearly, the late-time entanglement entropy is given by island configuration with twice the Bekenstein-Hawking entropy. Thus we reproduce the Page curve for the eternal KK black holes. Compared with Schwarzschild results, the Page time is delayed by a factor and the scrambling time is prolonged by a factor . Moreover, the higher-dimensional generalization is presented. Skeptically, there are Planck length scales involved, in which a semi-classical description may break down.
Keywords
Cite
@article{arxiv.2106.07845,
title = {Islands in Kaluza-Klein black holes},
author = {Yizhou Lu and Jiong Lin},
journal= {arXiv preprint arXiv:2106.07845},
year = {2022}
}
Comments
20 pages, 3 figures; Corrected some mistakes including the missing of the modification of the horizon area and the discussion of the case if island is inside the horizon