Differential invariants of Kundt spacetimes

Abstract

We find generators for the algebra of rational differential invariants for general and degenerate Kundt spacetimes and relate this to other approaches to the equivalence problem for Lorentzian metrics. Special attention is given to dimensions three and four.

24 pages

References in corpus (11)

• All spacetimes with vanishing curvature invariants
• Spacetimes characterized by their scalar curvature invariants
• Kundt Spacetimes
• Kerr-Schild Symmetries
• Lorentzian manifolds and scalar curvature invariants
• Vacuum Kundt Waves
• A criterion for the existence of Killing vectors in 3D
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• Differential invariants of Kundt waves
• On the Equivalence of Spacetimes, the Cartan-Karlhede Algorithm
• Nil-Killing vector fields and type III deformations

Cited by in corpus (3)

• Kundt Three Dimensional Left Invariant Spacetimes
• Killing Tensors in Koutras-McIntosh Spacetimes
• Dimension of the isometry group in type N vacuum solutions: an IDEAL approach