Type II Einstein spacetimes in higher dimensions
arXiv:0904.4367 · doi:10.1088/0264-9381/26/19/195010
Abstract
This short note shows that many of the results derived by Pravda et al (Class. Quant. Grav. 24 4407-4428) for higher-dimensional Type D Einstein spacetimes can be generalized to all Einstein spacetimes admitting a multiple WAND; the main new result being the extension to include the Type II case. Examples of Type D Einstein spacetimes admitting non-geodesic multiple WANDs are given in all dimensions greater than 4.
10 pages. v2: Various minor corrections and clarifications. Accepted by Class. Quantum Grav