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Global stability of spacetimes with supersymmetric compactifications

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arxiv 2006.00824 v1 pith:PQAFRINI submitted 2020-06-01 math.AP gr-qchep-th

Lars Andersson , Pieter Blue , Zoe Wyatt , Shing-Tung Yau This is my paper · ORCID
classification math.APgr-qchep-th
keywords stabilitycompactificationsexampleproductadmitsargumentcalabi-yaucartesian
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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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Overview of the proof of the exterior stability of the $(1+3)$-Minkowski space-time governed by the Einstein-Yang-Mills system in the Lorenz gauge

    math.AP 2024-12 reject novelty 2.0 of 10

    Exterior stability of Minkowski spacetime for the Einstein-Yang-Mills system in the Lorenz gauge is claimed for small data, with a proof outline built on a null frame decomposition.

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