6 citations · 11 across the 6 of their papers we have counts for
6 papers
Progress on the Kundt conjecture
Matthew Aadne, Lode Wylleman
The Kundt conjecture states that a Lorentzian manifold of arbitrary dimension which is not characterized by its scalar polynomial curvature invariants (SPIs) allows for a non-twist…
Observer-based invariants for cosmological models
Lode Wylleman, Alan Coley, David McNutt +1
We consider the equivalence problem for cosmological models in four-dimensional gravity theories. A cosmological model is considered as a triple consisting o…
Nil-Killing vector fields and type III deformations
Matthew Aadne
This paper is concerned with deformations of Kundt metrics in the direction of type tensors and nil-Killing vector fields whose flows give rise to such deformations. We find…
Kundt Structures
Matthew Aadne
In this paper we consider a new approach to studying Kundt spacetimes through -structures. We define a Lie-group such that the -structures satisfying an integrability c…
-Preserving Diffeomorphisms of Lorentzian Manifolds
D. D. McNutt, M. T. Aadne
We examine the existence of one parameter groups of diffeomorphisms whose infinitesimal generators annihilate all scalar polynomial curvature invariants through the application of…
Exact Solutions of the Field Equations for Empty Space in the Nash Gravitational Theory
Matthew T. Aadne, Oivind G. Gron
John Nash has proposed a new theory of gravity. We define a Nash-tensor equal to the curvature tensor appearing in the Nash field equations for empty space, and calculate its compo…