Petrov D vacuum spaces revisited: Identities and Invariant Classification

Details Petrov D vacuum spaces revisited: Identities and Invariant Classification Petrov D vacuum spaces revisited: Identities and Invariant Classification

2008-12-05

arxiv.org/abs/0812.1232v2

Class.Quant.Grav.26:105022,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Proof about the Karlhede upper bound improved and discussion of case IIIA re-written. Acknowledgments section expanded. To app

Scientific paper

10.1088/0264-9381/26/10/105022

For Petrov D vacuum spaces, two simple identities are rederived and some new identities are obtained, in a manageable form, by a systematic and transparent analysis using the GHP formalism. This gives a complete involutive set of tables for the four GHP derivatives on each of the four GHP spin coefficients and the one Weyl tensor component. It follows directly from these results that the theoretical upper bound on the order of covariant differentiation of the Riemann tensor required for a Karlhede classification of these spaces is reduced to two.

Affiliated with

Also associated with

No associations

Rating

Petrov D vacuum spaces revisited: Identities and Invariant Classification 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 Petrov D vacuum spaces revisited: Identities and Invariant Classification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Petrov D vacuum spaces revisited: Identities and Invariant Classification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719451