Islands in Schwarzschild black holes
Islands in Schwarzschild black holes
复制标题
DOI：
10.1007/jhep06(2020)085
复制
发表时间：
2020-04
影响因子：
5.4
通讯作者：
K. Hashimoto;Norihiro Iizuka;Y. Matsuo
中科院分区：
文献类型：
--
作者：
K. Hashimoto;Norihiro Iizuka;Y. Matsuo
研究了四维及更高时空维渐近平坦的永恒Schwarzschild黑洞的Page曲线。在Page时间之前，纠缠熵随时间线性增长。在Page时间之后，黑洞外部给定区域的纠缠熵在很大程度上被一个岛的出现所改变，岛的出现延伸到事件视界的外部附近。因此，它仍然是一个重现Bekenstein-Hawking熵的常量值，与永恒黑洞的冯·诺依曼熵的有限性一致。
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.