40 citations · 314 across the 33 of their papers we have counts for
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Spacetimes with all scalar curvature invariants in terms of the Cosmological Constant
David McNutt
In this letter we provide an invariant characterization for all spacetimes with all polynomial scalar invariants constructed from the Riemann tensor and its covariant derivatives v…
Killing vectors in higher dimensional spacetimes with constant scalar curvature invariants
David McNutt, Nicos Pelavas, Alan Coley
We study the existence of a non-spacelike isometry, ζ, in higher dimensional Kundt spacetimes with constant scalar curvature invariants (CSI). We present the particular forms for t…
Isometries in higher dimensional CCNV spacetimes
David McNutt, Alan Coley, Nicos Pelavas
We study the class of higher-dimensional Kundt metrics admitting a covariantly constant null vector, known as CCNV spacetimes. We pay particular attention to those CCNV spacetimes…
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…
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…