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math.DG2007★ 22 cited
Positive mass theorems for asymptotically de Sitter spacetimes
Mingxing Luo, Naqing Xie, Xiao Zhang
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 s…
math.DG2007★ 23 cited
Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant
Naqing Xie, Xiao Zhang
We formulate and prove the Lorentzian version of the positive mass theorems with arbitrary negative cosmological constant for asymptotically AdS spacetimes. This work is the contin…
math.DG2006★ 1 cited
The Positive Mass Theorem near null infinity
Xiao Zhang
In this short paper, we review recent progress on the positive mass theorem for spacelike hypersurfaces which approach to null infinity in asymptotically flat spacetimes. We use it…