论文标题

Schwarzschild黑洞的岛屿

Islands in Schwarzschild black holes

论文作者

Hashimoto, Koji, Iizuka, Norihiro, Matsuo, Yoshinori

论文摘要

我们研究了四个和较高时空维度的渐近永恒的schwarzschild黑洞的页面曲线。在页面时间之前,纠缠熵会及时线性增长。在页面时间之后,黑洞以外的给定区域的纠缠熵在很大程度上是由于一个岛的出现,该岛屿延伸到事件范围的外部附近。结果,它仍然是一个恒定值,它可以再现Bekenstein-Hawking熵,这与永恒黑洞的von Neumann熵的有限性一致。

We study the Page curve for asymptotically flat eternal Schwarzschild black holes in four and higher spacetime dimensions. Before the Page time, the entanglement entropy grows linearly in time. After the Page time, the entanglement entropy of a given region outside the black hole is largely modified by the emergence of an island, which extends to the outer vicinity of the event horizon. As a result, it remains a constant value which reproduces the Bekenstein-Hawking entropy, consistent with the finiteness of the von Neumann entropy for an eternal black hole.

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