Positive mass theorems for asymptotically de Sitter spacetimes

Details Positive mass theorems for asymptotically de Sitter spacetimes Positive mass theorems for asymptotically de Sitter spacetimes

2007-12-26

arxiv.org/abs/0712.4113v3

Nucl.Phys.B825:98-118,2010

Mathematics

Differential Geometry

24 pages, final version, to appear in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2009.09.017

We use planar coordinates as well as hyperbolic coordinates to separate the de Sitter spacetime into two parts. These two ways of cutting the de Sitter give rise to two different spatial infinities. For spacetimes which are asymptotic to either half of the de Sitter spacetime, we are able to provide definitions of the total energy, the total linear momentum, the total angular momentum, respectively. And we prove two positive mass theorems, corresponding to these two sorts of spatial infinities, for spacelike hypersurfaces whose mean curvatures are bounded by certain constant from above.

Affiliated with

Also associated with

No associations

Rating

Positive mass theorems for asymptotically de Sitter spacetimes 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 Positive mass theorems for asymptotically de Sitter spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positive mass theorems for asymptotically de Sitter spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476882