paper

Static vacuum metrics in (4 + 1) dimensions with Λ < 0 and squashed conformal infinity

arXiv:2607.22237

Abstract

We construct numerically two families of static five-dimensional Lorentzian metrics, solutions of vacuum Einstein equations with a negative cosmological constant, one with and one without a black hole region, with a metric at sections of conformal infinity which is conformal to any squashed three-dimensional sphere.

16 pages, 8 figures

Static vacuum metrics in (4 + 1) dimensions with Λ < 0 and squashed conformal infinity · wovepaper