Blar i Department of Mathematics and Natural Sciences på forfatter "Coley, Alan"
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Curvature operators and scalar curvature invariants
Hervik, Sigbjørn; Coley, Alan (Journal article; Peer reviewed, 2010)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 tensor and its covariant deriva- tives). ... -
Discriminating the Weyl type in higher dimensions using scalar curvature invariants
Hervik, Sigbjørn; Coley, Alan (Journal article; Peer reviewed, 2011)We consider higher dimensional Lorentzian spacetimes which are currently of interest in theoretical physics. It is possible to algebraically classify any tensor in a Lorentzian spacetime of arbitrary dimensions using ... -
Higher dimensional bivectors and classification of the Weyl operator
Hervik, Sigbjørn; Coley, Alan (Journal article; Peer reviewed, 2010)We develop the bivector formalism in higher dimensional Lorentzian spacetimes. We define the Weyl bivector operator in a manner consis- tent with its boost-weight decomposition. We then algebraically classify the Weyl ... -
Note on the invariant classification of vacuum type D spacetimes
Coley, Alan; Hervik, Sigbjørn (Journal article; Peer reviewed, 2009-12)We illustrate the fact that the class of vacuum type D spacetimes which are I-non-degenerate are invariantly classified by their scalar polynomial curvature invariants. -
On the algebraic classification of pseudo-Riemannian spaces
Hervik, Sigbjørn; Coley, Alan (Journal article; Peer reviewed, 2011-12)We consider arbitrary-dimensional pseudo-Riemannian spaces of signature (k, k + m). We introduce a boost-weight decomposition and define a number of algebraic properties (e.g. the Si- and N-properties) and present a ... -
Pseudo-Riemannian VSI spaces
Hervik, Sigbjørn; Coley, Alan (Journal article; Peer reviewed, 2011)In this paper we consider pseudo-Riemannian spaces of arbitrary sig- nature for which all of their polynomial curvature invariants vanish (VSI spaces). We discuss an algebraic classification of pseudo-Riemannian spaces ...