General approach to the study of vacuum space-times with an isometry

Details General approach to the study of vacuum space-times with an isometry General approach to the study of vacuum space-times with an isometry

2000-12-19

arxiv.org/abs/gr-qc/0012073v1

Class.Quant.Grav. 18 (2001) 353-372

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, LaTeX2e, IOP style. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/18/3/301

In vacuum space-times the exterior derivative of a Killing vector field is a 2-form (named here as the Papapetrou field) that satisfies Maxwell's equations without electromagnetic sources. In this paper, using the algebraic structure of the Papapetrou field, we will set up a new formalism for the study of vacuum space-times with an isometry, which is suitable to investigate the connections between the isometry and the Petrov type of the space-time. This approach has some advantages, among them, it leads to a new classification of these space-times and the integrability conditions provide expressions that determine completely the Weyl curvature. These facts make the formalism useful for application to any problem or situation with an isometry and requiring the knowledge of the curvature.

Affiliated with

Also associated with

No associations

Rating

General approach to the study of vacuum space-times with an isometry 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 General approach to the study of vacuum space-times with an isometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General approach to the study of vacuum space-times with an isometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374511