Global stability of spacetimes with supersymmetric compactifications

This paper proves the stability, with respect to the evolution determined by thevacuum Einstein equations, of the Cartesian product of higher-dimensional Minkowskispace with a compact, Ricci-flat Riemannian manifold that admits a spinstructure and a nonzero parallel spinor. Such a product includes the example ofCalabi–Yau and other special holonomy compactifications, which play a central rolein supergravity and string theory. The stability result proved in this papershows that Penrose’s instability argument [2003] does not apply to localisedperturbations.

Note:

25 pages

Einstein equation
stability
initial-value problem
SUSY
space-time: stability
Einstein equation: vacuum
space: Minkowski
compactification
supersymmetry
string model

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