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arXiv 0808.3233gr-qc
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Kaluza-Klein时空的拓扑审查

Topological censorship for Kaluza-Klein space-times

Piotr T. Chruściel, Gregory J. Galloway, Didier Solis

摘要:

标准的拓扑审查定理需要渐近假设,这对几种感兴趣的情况限制太多。在本文中,我们证明了一个版本的拓扑审查显着较弱的条件下,兼容,例如与卡鲁扎-克莱因渐近行为的解决方案。特别是,我们证明简单的连通性的商域的外部通信的对称性组的模型是渐近平坦的,或渐近反德西特,在卡鲁扎-克莱因意义上。这允许一个,例如,定义扭转势,用于唯一性定理中的场方程的简化。最后,用于证明上述的方法被用来表明,弱捕获的紧表面不能从Scri。

英文摘要:

The standard topological censorship theorems require asymptotic hypotheses which are too restrictive for several situations of interest. In this paper we prove a version of topological censorship under significantly weaker conditions, compatible e.g. with solutions with Kaluza-Klein asymptotic behavior. In particular we prove simple connectedness of the quotient of the domain of outer communications by the group of symmetries for models which are asymptotically flat, or asymptotically anti-de Sitter, in a Kaluza-Klein sense. This allows one, e.g., to define the twist potentials needed for the reduction of the field equations in uniqueness theorems. Finally, the methods used to prove the above are used to show that weakly trapped compact surfaces cannot be seen from Scri.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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