349 citations · 2.2k across the 57 of their papers we have counts for
4 papers · 2 filters
Vacuum Plane Waves; Cartan Invariants and physical interpretation
Alan Coley, David McNutt, Robert Milson
As an application of the Cartan invariants obtained using the Karlhede algorithm, we study a simple subclass of the PP-wave spacetimes, the gravitational plane waves. We provide an…
Three-dimensional spacetimes of maximal order
Robert Milson, Lode Wylleman
We show that the equivalence problem for three-dimensional Lorentzian manifolds requires at most the fifth covariant derivative of the curvature tensor. We prove that this bound is…
Invariant classification of vacuum PP-waves
Robert Milson, David McNutt, Alan Coley
We solve the equivalence problem for vacuum PP-wave spacetimes by employing the Karlhede algorithm. Our main result is a suite of Cartan invariants that allows for the complete inv…
Vacuum Kundt Waves
David McNutt, Robert Milson, Alan Coley
We discuss the invariant classification of vacuum Kundt waves using the Cartan-Karlhede algorithm, and the upper bound on the number of iterations of the Karlhede algorithm to clas…