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

2026/07/24 by Piotr T. Chruściel, Jiaxin Song, Raphaela Wutte +2
#gr-qc #hep-th #math.DG

paper · pdf

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.

Citations

• Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie

Related

• Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n≥ 5
• C-metric like vacuum with non-negative cosmological constant in five dimensions
• Static brane--like vacuum solutions in D ≥ 5 dimensional spacetime with positive ADM mass but no horizon
• Asymptotically flat anisotropic space-time in 5 dimensions
• A classification theorem for static vacuum black holes. Part I: the study of the lapse