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arXiv 1108.4397gr-qc
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膜世界中黑洞外时空几何的能量动量局域化

Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World

Irina Radinschi, Theophanes Grammenos, Andromahi Spanou

摘要:

在广义相对论中,最基本的问题之一是为能量-动量密度定义一个普遍接受的定义。因此,人们提出了许多依赖于坐标的定义,其中一些定义利用了适当的能量-动量复合体。利用Landau-Lifshitz和Weinberg公式研究了膜世界中球对称黑洞外度规的能量动量分布.在上述两个公式中,得到的能量依赖于径向坐标、黑洞的质量和一个参数$λ_{0}$,而所有的动量都为零。结果表明,当参数$λ_{0}$取一个特殊值时,可以恢复史瓦西时空几何。一些特殊的和限制的情况下进行了讨论。

英文摘要:

In general relativity one of the most fundamental issues consists in defining a generally acceptable definition for the energy-momentum density. As a consequence, many coordinate-dependent definitions have been presented, whereby some of them utilize appropriate energy-momentum complexes. We investigate the energy-momentum distribution for a metric exterior to a spherically symmetric black hole in the brane world by applying the Landau-Lifshitz and Weinberg prescriptions. In both the aforesaid prescriptions, the energy thus obtained depends on the radial coordinate, the mass of the black hole and a parameter $λ_{0}$, while all the momenta are found to be zero. It is shown that for a special value of the parameter $λ_{0}$, the Schwarzschild space-time geometry is recovered. Some particular and limiting cases are also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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