The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times

The mass of spacelike hypersurfaces in asymptotically anti-de Sitter space-times
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DOI:
10.4310/atmp.2001.v5.n4.a3
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发表时间:
2001-07
影响因子:
1.5
通讯作者:
P. Chruściel;G. Nagy
P. Chruściel;G. Nagy
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
P. Chruściel;G. Nagy

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我们给出了时空中类空超曲面的质量的哈密顿定义,其度量是反德西特度量或其一类推广的渐近度量。我们表明,我们的定义提供了一个几何不变的类空超曲面嵌入在时空。
We give a Hamiltonian definition of mass for spacelike hypersurfaces in space-times with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We show that our definition provides a geometric invariant for a spacelike hypersurface embedded in a space-time.