Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
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DOI：
10.1103/physrevd.101.104022
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发表时间：
2020-03
影响因子：
5
通讯作者：
Yasutaka Koga
中科院分区：
文献类型：
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作者：
Yasutaka Koga
薄壳虫孔是由两个渐近平坦时空沿其内边界沿着连接而成的。施加在时空上的接合条件指定了物质的状态方程，该物质被称为沿接合边界沿着分布的薄壳。Alberto和Visser（2000）报道了球对称薄壳虫孔的壳，即虫孔喉，在光子球上，如果虫孔在喉上是Z 2对称的，并且壳是纯张力的。在本文中，我们首先考虑一般的联结时空（JST），证明了任何Λ-真空的Z ~ 2对称纯张JST（Z ~ 2 PTJST）在不假设任何其它对称性的情况下，其壳层都在光子表面上，光子表面是光子球的广义对象。Z2 PTJST类还包括，例如，膜世界模型，壳是我们生活的膜。其次，我们通过分析相应光子表面的稳定性来研究Z2 PTJST的壳层稳定性。最后，应用Cederbaum [Contemp. Math.653，86（2015）CTMAEH 1098 -362710.1090/conm/653/13178]，我们建立了Z2 PTJST的静态虫洞的唯一性定理。
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 Z2-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 Z2-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 [Contemp. Math. 653, 86 (2015)CTMAEH1098-362710.1090/conm/653/13178], we establish the uniqueness theorem of static wormholes of Z2PTJST.