Blar i Faculty of Science and Technology på emneord "quantum cosmology"
Viser treff 1-6 av 6
-
A spacetime not characterized by its invariants is of aligned type II
(Journal article; Peer reviewed, 2011)By using invariant theory we show that a (higher-dimensional) Lorentzian metric that is not characterised by its invariants must be of aligned type II; i.e., there exists a frame such that all the curvature tensors ... -
All metrics have curvature tensors characterised by its invariants as a limit: the ϵ-property
(Journal article; Peer reviewed, 2011)We prove a generalisation of the ϵ-property, namely that for any dimension and signature, a metric which is not characterised by its polynomial scalar curvature invariants, there is a frame such that the components of the ... -
Curvature operators and scalar curvature invariants
(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). ... -
Higher dimensional bivectors and classification of the Weyl operator
(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 ... -
Pseudo-Riemannian VSI spaces
(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 ... -
Pseudo-Riemannian VSI spaces II
(Journal article; Peer reviewed, 2012)In this paper we consider pseudo-Riemannian spaces of arbitrary signature for which all of the polynomial curvature invariants vanish (VSI spaces). Using an algebraic classification of pseudo-Riemannian spaces in terms of ...