Initial data sets for the Schwarzschild spacetime

Details Initial data sets for the Schwarzschild spacetime Initial data sets for the Schwarzschild spacetime

2006-09-22

arxiv.org/abs/gr-qc/0609100v2

Phys.Rev.D75:024027,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1103/PhysRevD.75.024027

A characterisation of initial data sets for the Schwarzschild spacetime is provided. This characterisation is obtained by performing a 3+1 decomposition of a certain invariant characterisation of the Schwarzschild spacetime given in terms of concomitants of the Weyl tensor. This procedure renders a set of necessary conditions --which can be written in terms of the electric and magnetic parts of the Weyl tensor and their concomitants-- for an initial data set to be a Schwarzschild initial data set. Our approach also provides a formula for a static Killing initial data set candidate --a KID candidate. Sufficient conditions for an initial data set to be a Schwarzschild initial data set are obtained by supplementing the necessary conditions with the requirement that the initial data set possesses a stationary Killing initial data set of the form given by our KID candidate. Thus, we obtain an algorithmic procedure of checking whether a given initial data set is Schwarzschildean or not.

Affiliated with

Also associated with

No associations

Rating

Initial data sets for the Schwarzschild spacetime 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 Initial data sets for the Schwarzschild spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Initial data sets for the Schwarzschild spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-129913