Novel accelerating Einstein vacua and smooth inhomogeneous Riemannian manifolds

preprint2012arXivOpen access

Abstract

A novel class of Einstein vacua is presented, which possess non-vanishing cosmological constant and accelerating horizon with the topology of SD−3S^{D-3} fibration over S1S^{1}. After Euclideanization, the solution describes a conformally distorted SD−1S^{D-1} fibration over S1S^1, which is smooth, compact and inhomogeneous, and can be regarded as analogue of Don Page's gravitational instanton.

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