A spacetime not characterized by its invariants is of aligned type II
Journal article, Peer reviewed
Permanent lenke
http://hdl.handle.net/11250/182373Utgivelsesdato
2011Metadata
Vis full innførselSamlinger
Originalversjon
Hervik, S. (2011). A spacetime not characterized by its invariants is of aligned type II. Classical and Quantum Gravity, 28(21) doi:10.1088/0264-9381/28/21/215009Sammendrag
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 are
simultaneously of type II. This implies, using the boost-weight decomposition, that for such a metric there exists a frame such that all positive
boost-weight components are zero. Indeed, we show a more general result,
namely that any set of tensors which is not characterised by its invariants,
must be of aligned type II. This result enables us to prove a number of
related results, among them the algebraic VSI conjecture.
Beskrivelse
This is an author-created, un-copyedited version of an article accepted for publication in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:10.1088/0264-9381/28/21/215009.