Global stability of spacetimes with supersymmetric compactifications

Lars Andersson, Pieter Blue, Zoe Wyatt, Shin-Tung Yau

Research output: Working paper


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.
Original languageEnglish
Number of pages25
Publication statusPublished - 1 Jun 2020


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