Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity
General Relativity and Quantum Cosmology
2026-07-24 v1 High Energy Physics - Theory
Differential Geometry
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.
Cite
@article{arxiv.2607.22237,
title = {Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity},
author = {Piotr T. Chruściel and Jiaxin Song and Raphaela Wutte and Maciej Maliborski and Klaus Kroencke},
journal= {arXiv preprint arXiv:2607.22237},
year = {2026}
}
Comments
16 pages, 8 figures