A positivity theorem for gravitational tension in brane spacetimes
A positivity theorem for gravitational tension in brane spacetimes
复制标题
膜时空中引力张力的正定理
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Traschen
中科院分区：
文献类型：
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作者：
J. Traschen
我们研究了由膜物质源产生的没有视界的横向渐近平坦时空。我们假设渐近地有一个空间平移的Killing向量与膜相切。这样的时空以张力为特征，类似于ADM质量，它是与渐近空间平移基灵矢量相关的引力荷。利用旋量技术，我们证明了纯引力对时空张力的贡献是正定的。
We study transverse asymptotically flat spacetimes without horizons that arise from brane matter sources. We assume that asymptotically there is a spatial translation Killing vector that is tangent to the brane. Such spacetimes are characterized by a tension, analogous to the ADM mass, which is a gravitational charge associated with the asymptotic spatial translation Killing vector. Using spinor techniques, we prove that the purely gravitational contribution to the spacetime tension is positive definite.