Browsing Vitenskapelige publikasjoner (TN-IMN) by Subject "mathematical physics"
Now showing items 1-4 of 4
-
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 ... -
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 ...