论文标题
陆上和页面曲线，用于单面渐近平坦的黑洞
Island and Page curve for one-sided asymptotically flat black hole
论文作者
论文摘要
当近年来提出了霍金辐射的纠缠熵的半经典岛规则时，解决了解决黑洞信息悖论的巨大突破。到目前为止，大多数论文讨论了渐近平面黑洞的岛屿规则，$ d \ ge 4 $专注于永恒的黑洞。在本文中，我们通过讨论“在”真空状态的岛上迈出了进一步的一步，该岛描述了由重力崩溃形成的单面渐近平坦的黑洞，$ d \ ge 4 $。我们发现岛上的$ i $在很晚才出现，并节省了熵的界限。岛的边界$ \部分i $取决于截止表面的位置。当截止表面远离地平线时，$ \ partial i $在内部和附近。当将截止表面设置为地平线时，$ \ partial i $在外面和接近地平线。这与永恒的黑洞不同，在$ \ a部分i $始终不在地平线之外，无论截止表面远非或附近。我们将看到，当截止表面远离地平线时，不同状态在岛公式中显然会影响$ s _ {\ text {ent}} $，因此在页面时间内有不同的结果。
Great breakthrough in solving black hole information paradox took place when semiclassical island rule for entanglement entropy of Hawking radiation was proposed in recent years. Up to now, most papers which discussed island rule of asymptotic flat black hole with $D \ge 4$ focus on eternal black hole. In this paper, we take one more step further by discussing island of "in" vacuum state which describes one-sided asymptotically flat black hole formed by gravitational collapse in $D \ge 4$. We find that island $I$ emerges at late time and saves entropy bound. And boundary of island $\partial I$ depends on the position of cutoff surface. When cutoff surface is far from horizon, $\partial I$ is inside and near horizon. When cutoff surface is set to be near horizon, $\partial I$ is outside and near horizon. This is different from the case of eternal black hole in which $\partial I$ is always outside horizon no matter cutoff surface is far from or near horizon. We will see that different states will manifestly affect $S_{\text{ent}}$ in island formula when cutoff surface is far from horizon and thus have different result for Page time.
