On type II(D) Einstein spacetimes in six dimensions
Abstract
After a concise overview of Einstein spacetimes of type II (or more special) in four and five dimensions, we summarize recent results in the six-dimensional case. We assume the optical matrix to be non-degenerate and ``generic'', and the Weyl tensor to fall off sufficiently rapidly at infinity. As it turns out, the most general metric is characterized by one discrete (normalized) and three continuous parameters, is of type D and belongs to the Kerr-Schild class. Its relation to the previously known Kerr-(A)dS and Kerr-NUT-(A)dS metrics is clarified.
Cite
@article{arxiv.2602.18074,
title = {On type II(D) Einstein spacetimes in six dimensions},
author = {David Kokoška and Marcello Ortaggio},
journal= {arXiv preprint arXiv:2602.18074},
year = {2026}
}
Comments
6 pages; short summary of 2505.10532 [gr-qc]. Proceedings of "60 Years in Mathematical Physics: Honoring Prof. Metin G\"urses", Ankara, December 26th, 2025 (https://sites.google.com/view/gurses2025)