Time-independent wormholes
Time-independent wormholes
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与时间无关的虫洞
DOI：
10.1007/jhep12(2016)021
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发表时间：
2016
影响因子：
5.4
通讯作者：
Eric Mefford
中科院分区：
文献类型：
--
作者：
Zicao Fu;D. Marolf;Eric Mefford
我们研究了双面静态虫洞与一个确切的Killing对称，翻译两个口的虫洞对未来。这不同于熟悉的克鲁斯卡尔虫洞，其时间平移仅在一个渐近区域中是未来导向的，而在另一个区域中是过去导向的。我们的时空是爱因斯坦-希尔伯特引力的解，其来源是标量域壁。在薄壁近似中找到了明确的例子。更一般地说，我们表明，这样的时空中可能出现的标量场的潜力是C1，但不是C2，并找到数字的例子。然而，当标量势是光滑的时，具有精确的Killing对称性的解是被禁止的。最后，我们考虑了AdS/CFT中与这种虫洞相关的边界区域的互信息。虽然我们的解的内部是不稳定的，我们发现，即使是相对的边界之间的相互信息已经热化在任何有限的t，在这个意义上，他们同意从熟悉的AdS-Kruskal解决方案的结果的t → ∞极限。
We study two-sided static wormholes with an exact Killing symmetry that translates both mouths of the wormhole toward the future. This differs from the familiar Kruskal wormhole whose time translation is future-directed only in one asymptotic region and is instead past-directed in the other. Our spacetimes are solutions to Einstein-Hilbert gravity sourced by scalar domain walls. Explicit examples are found in the thin wall approimation. More generally, we show that such spacetimes can arise in the presence of scalar fields with potentials that are C1 but not C2 and find examples numerically. However, solutions with an exact such Killing symmetry are forbidden when the scalar potential is smooth. Finally, we consider the mutual information of boundary regions associated with such wormholes in AdS/CFT. Although the interior of our solutions are unstable, we find that even mutual informations between opposite boundaries are already thermalized at any finite t in the sense that they agree with the t → ∞ limit of results from the familiar AdS-Kruskal solution.