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Stability of high-dimensional product spacetimes

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If you have a question about this talk, please contact Dejan Gajic.

A fundamental problem in the context of Einstein’s equations of general relativity is to understand the dynamical evolution of small initial data perturbations of known Einstein spacetimes. In this talk I will discuss the stability under the vacuum Einstein equations of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold admitting nonzero parallel spinors. Such a product includes special holonomy compactifications, which play a central role in string theory and supergravity.

This talk is part of the DAMTP Friday GR Seminar series.

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