The Hamiltonian mass of asymptotically anti-de Sitter space-times

The Hamiltonian mass of asymptotically anti-de Sitter space-times
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渐近反德西特时空的哈密顿质量

DOI:
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发表时间:
2000
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通讯作者:
Gabriel Nagy
Gabriel Nagy
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文献类型:
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作者:
Piotr T. Chruściel;Gabriel 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。我们提出的另一份文件(Chrusciel PT和纳吉G 2001年b,在准备)的结果表明,我们的定义提供了一个几何不变的类空超曲面?嵌入在一个时空中(k,g)。还给出了一些进一步的全局不变量。
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 present the results of another paper (Chrusciel P T and Nagy G 2001b, in preparation) which show that our definition provides a geometric invariant for a spacelike hypersurface ? embedded in a space-time (ℳ,g). Some further global invariants are also given.