Type II Einstein spacetimes in higher dimensions

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

References in corpus (7)

• Classification of the Weyl Tensor in Higher Dimensions
• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Robinson-Trautman spacetimes in higher dimensions
• Bianchi identities in higher dimensions
• Type D Einstein spacetimes in higher dimensions
• General Kundt spacetimes in higher dimensions
• Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation

Cited by in corpus (6)

• Generalization of the Geroch-Held-Penrose formalism to higher dimensions
• Higher dimensional bivectors and classification of the Weyl operator
• Interpreting spacetimes of any dimension using geodesic deviation
• A higher-dimensional generalization of the geodesic part of the Goldberg-Sachs theorem
• Lorentzian manifolds and scalar curvature invariants
• On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions