Positive mass theorems for black holes
Positive mass theorems for black holes
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DOI：
10.1007/bf01213209
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发表时间：
1983-09
影响因子：
2.4
通讯作者：
G. Gibbons;S. Hawking;G. Horowitz;M. Perry
中科院分区：
文献类型：
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作者：
G. Gibbons;S. Hawking;G. Horowitz;M. Perry
我们推广了维滕在类空无穷远处的正质量定理的证明，证明了在渐近平坦的空间超曲面H上的初始数据的质量是正的，该超曲面H在表观视界H外是正则的。此外，我们证明了如果黑洞具有电磁荷，则质量大于电荷的模。这些结果对于零无穷远处的邦迪质量也是有效的。最后，在爱因斯坦方程与负宇宙学常数的情况下，我们表明，一个适当定义的质量是积极的渐近反德西特表面上的数据，这是经常外的表观视界。
We extend Witten's proof of the positive mass theorem at spacelike infinity to show that the mass is positive for initial data on an asymptotically flat spatial hypersurface Σ which is regular outside an apparent horizonH. In addition, we prove that if a black hole has electromagnetic charge, then the mass is greater than the modulus of the charge. These results are also valid for the Bondi mass at null infinity. Finally, in the case of the Einstein equation with a negative cosmological constant, we show that a suitably defined mass is positive for data on an asymptotically anti-de Sitter surface Σ which is regular outside an apparent horizon.