具有超对称紧化的时空的全局稳定性
Global stability of spacetimes with supersymmetric compactifications
AI总结：
本文证明了具有超对称紧化（如Calabi-Yau流形）的高维Minkowski空间在真空Einstein方程演化下的全局稳定性，为Penrose的不稳定性论证提供了反例。
摘要：
本文证明了具有紧致、Ricci平坦黎曼流形（该流形允许自旋结构和非零平行旋量）的高维Minkowski空间的笛卡尔积，在真空Einstein方程确定的演化下的稳定性。此类乘积包括Calabi-Yau及其他特殊和乐紧化的例子，它们在超引力和弦理论中起核心作用。本文证明的稳定性为Penrose的不稳定性论证提供了一个反例。
英文摘要：
This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin structure and a nonzero parallel spinor. Such a product includes the example of Calabi-Yau and other special holonomy compactifications, which play a central role in supergravity and string theory. The stability proved in this paper provides a counter example to an instability argument by Penrose.
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。
