Gravitational solitons and complete Ricci flat Riemannian manifolds of infinite topological type

Marcus Khuri, Martin Reiris, Gilbert Weinstein, Sumio Yamada

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ملخص

We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These latter solutions are referred to as gravitational solitons. Further partially compactified solutions are also obtained by taking appropriate quotients, and the topologies are computed explicitly in terms of connected sums of products of spheres. In addition, it is shown that there is a correspondence, via Wick rotation, between the spacelike slices of the solitons and black hole solutions in one dimension less. As a corollary, the solitons give rise to complete Ricci flat Riemannian manifolds of infinite topological type and generic holonomy, in dimensions 4 and higher.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)1895-1921
عدد الصفحات27
دوريةPure and Applied Mathematics Quarterly
مستوى الصوت20
رقم الإصدار4
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2024

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