摘要
We give a rigorous proof of the positive mass theorem for high-dimensional spacetimes with black holes if the spacetime contains an asymptotically flat spacelike spin hypersurface and satisfies the dominant energy condition along the hypersurface. We also weaken the spin structure on the spacelike hypersurface to spinc structure and give a modified positive mass theorem for spacetimes with black holes in dimensions 4, 5 and 6.
We give a rigorous proof of the positive mass theorem for high-dimensional spacetimes with black holes if the spacetime contains an asymptotically flat spacelike spin hypersurface and satisfies the dominant energy condition along the hypersurface. We also weaken the spin structure on the spacelike hypersurface to spinc structure and give a modified positive mass theorem for spacetimes with black holes in dimensions 4, 5 and 6.
基金
supported by National Natural Science Foundation of China (Grant No.10901153)
