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arXiv 2003.10859gr-qcastro-ph.HEhep-th
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作为纯张力壳层的光子表面:薄壳层虫洞的唯一性

Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes

Yasutaka Koga

摘要:

薄壳虫孔是由两个渐近平坦的时空沿其内部边界连接而成。施加在时空上的连接条件指定了沿连接边界分布的称为薄壳的物质的状态方程。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,如果虫孔是$Z_2$ -对称穿过喉,并且壳是纯张力的。在本文中,我们首先考虑一般的联合时空(JST),并证明了任何$Z_2$ -对称的纯张JST(Z2 PTJST)的$Λ$ -真空有它的壳在光子表面,光子球的广义对象,而不假设任何其他的对称性。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(2015)的光子球唯一性定理,我们建立了Z2 PTJST静态虫洞的唯一性定理。

英文摘要:

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.

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