渐近de Sitter时空的正质量定理
Positive mass theorems for asymptotically de Sitter spacetimes
摘要：
我们使用平面坐标和双曲坐标将德西特时空分成两部分。这两种切割德西特的方法产生了两种不同的空间无限性。对于渐近于德西特时空的任意一半的时空，我们能够分别给出总能量、总线动量和总角动量的定义。对于中曲率由上述常数限定的类空超曲面，我们证明了与这两类空间无穷大相对应的两个正质量定理。
英文摘要：
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.
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