AI 中文总结
本文在广义相对论中研究了包围简并施瓦西-克林克哈默虫洞的刚性球壳静态构型，发现替换内部为简并真空虫洞可使球壳固有质量消失，相关结果与简并虫洞坍缩动力学存在关联。
AI 中文摘要
在广义相对论框架下，本文研究了由刚性球壳包围简并施瓦西-克林克哈默（Schwarzschild Klinkhamer）虫洞的静态构型。利用以色列（Israel）交界条件分析该球壳，假设总ADM质量保持固定。对于施瓦西时空中的普通刚性球壳，其固有质量由布朗-约克（Brown York）关系给出。研究表明，将平直内部替换为简并真空虫洞会改变交界条件，使得球壳的固有质量消失，而ADM质量与外部施瓦西几何保持不变。因此，该构型完全由作为引力场载体的虫洞几何表征。本文还讨论了该结果的物理解释，及其与先前确立的简并虫洞坍缩动力学的关联。
英文摘要
A static configuration consisting of a rigid spherical shell enclosing a degenerate Schwarzschild Klinkhamer wormhole is investigated in general relativity. The shell is analyzed using the Israel junction conditions, while the total ADM mass is assumed to remain fixed. For an ordinary rigid shell in Schwarzschild spacetime, the proper mass is given by the Brown York relation. It is shown that replacing the flat interior by a degenerate vacuum wormhole changes the junction conditions in such a way that the proper mass of the shell vanishes, whereas the ADM mass and the exterior Schwarzschild geometry remain unchanged. The resulting configuration is therefore entirely characterized by the wormhole geometry as the carrier of the gravitational field. The physical interpretation of this result is discussed, together with its relation to the previously established collapse dynamics of degenerate wormholes.
CommentsThe paper is accepted to publication in Mod. Phys. Lett. A
