Conformally Einstein Lorentzian Lie groups with Heisenberg symmetry
Differential Geometry
2023-03-02 v1
Abstract
We describe all Lorentzian semi-direct extensions of the Heisenberg group which are conformally Einstein. As a by side result, Bach-flat left-invariant Lorentzian metrics on semi-direct extensions of the Heisenberg group are classified, thus providing new background solutions in conformal gravity.
Keywords
Cite
@article{arxiv.2303.00646,
title = {Conformally Einstein Lorentzian Lie groups with Heisenberg symmetry},
author = {Esteban Calviño-Louzao and Eduardo Garcia-Rio and Ixchel Gutierrez-Rodriguez and Ramon Vazquez-Lorenzo},
journal= {arXiv preprint arXiv:2303.00646},
year = {2023}
}