401 citations · 2.9k across the 98 of their papers we have counts for
6 papers · 2 filters
Algebraic classification of spacetimes using discriminating scalar curvature invariants
Alan Coley, Sigbjorn Hervik
The Weyl and Ricci tensors can be algebraically classified in a Lorentzian spacetime of arbitrary dimensions using alignment theory. Used in tandem with the boost weight decomposit…
On the algebraic classification of pseudo-Riemannian spaces
Sigbjorn Hervik, Alan Coley
We consider arbitrary-dimensional pseudo-Riemannian spaces of signature . We introduce a boost-weight decomposition and define a number of algebraic properties (e.g., the…
Pseudo-Riemannian VSI spaces
Sigbjorn Hervik, Alan Coley
In this paper we consider pseudo-Riemannian spaces of arbitrary signature for which all of their polynomial curvature invariants vanish (VSI spaces). We discuss an algebraic classi…
Future asymptotics of tilted Bianchi type II cosmologies
Sigbjorn Hervik, Woei Chet Lim, Patrik Sandin +1
In this paper we study the future asymptotics of spatially homogeneous Bianchi type II cosmologies with a tilted perfect fluid with a linear equation of state. By means of Hamilton…
Lorentzian manifolds and scalar curvature invariants
Alan Coley, Sigbjorn Hervik, Nicos Pelavas
We discuss (arbitrary-dimensional) Lorentzian manifolds and the scalar polynomial curvature invariants constructed from the Riemann tensor and its covariant derivatives. Recently,…
Curvature operators and scalar curvature invariants
S. Hervik, A. Coley
We continue the study of the question of when a pseudo-Riemannain manifold can be locally characterised by its scalar polynomial curvature invariants (constructed from the Riemann…