论文标题

岛屿和拉伸地平线

Islands and stretched horizon

论文作者

Matsuo, Yoshinori

论文摘要

最近有人提出,霍金辐射的纠缠熵包含一个区域的信息,包括事件视野的内部,称为“岛”。在研究鹰辐射的纠缠熵的研究中,黑洞几何形状中的总系统分为鹰辐射和黑洞。在本文中,我们研究了渐近平坦的schwarzschild时空中黑洞的纠缠熵。霍金辐射的岛屿规则一致性意味着黑洞的信息位于与岛屿不同的区域。我们发现该岛的不稳定在计算地平线附近表面外部区域的纠缠熵中。这意味着该区域包含了总系统的所有信息,并且黑洞的信息位于表面上。因此,表面将被解释为拉伸的地平线。该结构还类似于广告时空中的黑洞,并带有辅助平面时空,其中黑洞的信息位于ADS时空和平面时空之间的接口处。

Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called "island." In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

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