Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-04-15
Phys.Rev.Lett. 70 (1993) 2829-2832
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, revtex style
Scientific paper
10.1103/PhysRevLett.70.2829
Various works have suggested that the Bondi--Sachs--Penrose decay conditions on the gravitational field at null infinity are not generally representative of asymptotically flat space--times. We have made a detailed analysis of the constraint equations for ``asymptotically hyperboloidal'' initial data and find that log terms arise generically in asymptotic expansions. These terms are absent in the corresponding Bondi--Sachs--Penrose expansions, and can be related to explicit geometric quantities. We have nevertheless shown that there exists a large class of ``non--generic'' solutions of the constraint equations, the evolution of which leads to space--times satisfying the Bondi--Sachs--Penrose smoothness conditions.
Andersson L.-L.
Chrusciel Piotr T.
No associations
LandOfFree
On ``hyperboloidal'' Cauchy data for vacuum Einstein equations and obstructions to smoothness of ``null infinity'' 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 On ``hyperboloidal'' Cauchy data for vacuum Einstein equations and obstructions to smoothness of ``null infinity'', we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On ``hyperboloidal'' Cauchy data for vacuum Einstein equations and obstructions to smoothness of ``null infinity'' will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-190866