Physics
Scientific paper
Oct 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phrvd..72h4003k&link_type=abstract
Physical Review D, vol. 72, Issue 8, id. 084003
Physics
3
Initial Value Problem, Existence And Uniqueness Of Solutions, Asymptotic Structure, Exact Solutions
Scientific paper
A theorem providing a characterization of Schwarzschildean initial data sets on slices with an asymptotically Euclidean end is proved. This characterization is based on the proportionality of the Weyl tensor and its D’Alambertian that holds for some vacuum Petrov type D spacetimes (e.g. the Schwarzschild spacetime, the C-metric, but not the Kerr solution). The 3+1 decomposition of this proportionality condition renders necessary conditions for an initial data set to be a Schwarzschildean initial set. These conditions can be written as quadratic expressions of the electric and magnetic parts of the Weyl tensor, and thus involve only the freely specifiable data. In order to complete our characterization, a study of which vacuum static Petrov type D spacetimes admit asymptotically Euclidean slices is undertaken. Furthermore, a discussion of the Arnowitt-Deser-Misner (ADM) 4-momentum for boost-rotation symmetric spacetimes is given. As a by-product of our analysis a certain characterization of the Schwarzschild spacetime is obtained. Finally, a generalization of our characterization, valid for Schwarzschildean hyperboloidal initial data sets is put forward.
No associations
LandOfFree
Characterization of Schwarzschildean initial data 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 Characterization of Schwarzschildean initial data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characterization of Schwarzschildean initial data will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1657182