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arXiv 0705.0720gr-qcastro-ph
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具有最小耦合标量场的荷电黑洞的能量分布

Energy Distribution of a Charged Black Hole with a Minimally Coupled Scalar Field

Paul Halpern

摘要:

利用Einstein、Landau-Lifshitz和Papapetrou三种不同的能量-动量复合体公式,计算了具有自相互作用、最小耦合标量场和Anti-deSitter时空局部渐近区域的带电黑洞的能量.写度量在克尔-Schild笛卡尔坐标,我们证明,这个度量属于克尔-Schild类的解决方案。应用三个能量-动量处方中的每一个并比较结果,我们发现这些复合物之间的一致性,表明它们作为能量的局部测量的实用性。

英文摘要:

Using three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Papapetrou prescriptions, we calculate the energy of an electrically charged black hole exact solution with a self-interacting, minimally-coupled scalar field and the asymptotic region locally an Anti-deSitter spacetime. Writing the metric in Kerr-Schild Cartesian coordinates, we demonstrate that this metric belongs to the Kerr-Schild class of solutions. Applying each of the three energy-momentum prescriptions and comparing the results, we find consistency among these complexes, suggesting their utility as localized measures of energy.

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