Note on the invariant classification of vacuum type D spacetimes

Abstract

We illustrate the fact that the class of vacuum type D spacetimes which are $\mathcal{I}$-\emph{non-degenerate} are invariantly classified by their scalar polynomial curvature invariants.

References in corpus (5)

• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Spacetimes characterized by their scalar curvature invariants
• Kundt Spacetimes
• An intrinsic characterization of the Kerr metric
• Petrov D vacuum spaces revisited: Identities and Invariant Classification

Cited by in corpus (2)

• Invariant characterization of the Kerr spacetime: Locating the horizon and measuring the mass and spin of rotating black holes using curvature invariants
• Curvature operators and scalar curvature invariants