Positive mass theorems for asymptotically de Sitter spacetimes
arXiv:0712.4113 · doi:10.1016/j.nuclphysb.2009.09.017
Abstract
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.
24 pages, final version, to appear in Nuclear Physics B
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- Asymptotics with a positive cosmological constant: III. The quadrupole formula
- Implications of a positive cosmological constant for general relativity
- On the mass of static metrics with positive cosmological constant - I
- A positive Bondi--type mass in asymptotically de Sitter spacetimes
- A review of total energy-momenta in GR with a positive cosmological constant
- On the mass of static metrics with positive cosmological constant -- II
- Quantum reverse hypercontractivity: its tensorization and application to strong converses
- Test fields cannot destroy extremal de Sitter black holes
- Bondi-Sachs metrics and Photon Rockets
- The positive energy theorem for asymptotically anti-de Sitter spacetimes
- Spacelike hypersurfaces with negative total energy in de Sitter spacetime
- Recent progress on the positive energy theorem
- On 3+1 Lorentzian Einstein Manifolds with One Rotational Isometry
- Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature