A spacetime not characterised by its invariants is of aligned type II

Details A spacetime not characterised by its invariants is of aligned type II A spacetime not characterised by its invariants is of aligned type II

2011-09-12

arxiv.org/abs/1109.2551v1

Class. Quantum Grav. 28 (2011) 215009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14pages, CQG to appear

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A spacetime not characterised by its invariants is of aligned type II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A spacetime not characterised by its invariants is of aligned type II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A spacetime not characterised by its invariants is of aligned type II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60623