论文标题
光子表面作为纯张力壳：薄壳蠕虫的独特性
Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
论文作者
论文摘要
薄壳虫洞是通过在其内部边界上连接两个渐近平坦的空间来构建的。空间上施加的连接条件指定了沿连接边界分布的物质状态的方程。 Barcelo and Visser（2000）报道说，如果虫洞在喉咙上是$ Z_2 $ -Symmetric的，则球形对称的薄壳壳孔具有壳，即虫洞喉咙，在光子球上，贝壳是纯紧张的。在本文中，首先，我们考虑加入SpaceTimes（JSTS），并表明$λ$ -Vacuum的任何$ Z_2 $ - 符合纯度纯度JST（Z2PTJST）都在光子表面上具有壳，这是光子球的广义对象，而没有假设任何其他对称性。 Z2PTJST类还包括例如Brane World模型，其壳是我们居住的麸皮。其次，我们通过分析相应的光子表面的稳定性来研究Z2PTJSTS的壳稳定性。最后，应用Cederbaum（2015）的光子球的唯一定理，我们建立了Z2PTJST静态虫洞的唯一定理。
Thin shell wormholes are constructed by joining two asymptotically flat spacetimes along their inner boundaries. The junction conditions imposed on the spacetimes specify the equation of state of the matter called thin shell distributed along the joined boundaries. Barcelo and Visser (2000) reported that spherically symmetric thin shell wormholes have their shells, namely the wormhole throats, on the photon spheres if the wormholes are $Z_2$-symmetric across the throats and the shells are of pure tension. In this paper, first, we consider general joined spacetimes (JSTs) and show that any $Z_2$-symmetric pure-tensional JST (Z2PTJST) of $Λ$-vacuum has its shell on a photon surface, a generalized object of photon spheres, without assuming any other symmetries. The class of Z2PTJSTs also includes, for example, brane world models with the shells being the branes we live in. Second, we investigate the shell stability of Z2PTJSTs by analyzing the stability of the corresponding photon surfaces. Finally, applying the uniqueness theorem of photon spheres by Cederbaum (2015), we establish the uniqueness theorem of static wormholes of Z2PTJST.
