Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-06-14
JHEP 0611 (2006) 084
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
improvements in the presentation; some statements corrected
Scientific paper
10.1088/1126-6708/2006/11/084
We prove upper bounds on angular momentum and centre of mass in terms of the Hamiltonian mass and cosmological constant for non-singular asymptotically anti-de Sitter initial data sets satisfying the dominant energy condition. We work in all space-dimensions larger than or equal to three, and allow a large class of asymptotic backgrounds, with spherical and non-spherical conformal infinities; in the latter case, a spin-structure compatibility condition is imposed. We give a large class of non-trivial examples saturating the inequality. We analyse exhaustively the borderline case in space-time dimension four: for spherical cross-sections of Scri, equality together with completeness occurs only in anti-de Sitter space-time. On the other hand, in the toroidal case, regular non-trivial initial data sets saturating the bound exist.
Chrusciel Piotr T.
Maerten Daniel
Tod Paul
No associations
LandOfFree
Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times 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 Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-606585