Regular Sources of the Kerr-Schild class for Rotating and Nonrotating Black Hole Solutions
Regular Sources of the Kerr-Schild class for Rotating and Nonrotating Black Hole Solutions
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旋转和非旋转黑洞解的 Kerr-Schild 类的常规源
DOI：
10.1103/physrevd.65.064039
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发表时间：
2001
影响因子：
5
通讯作者：
G. Magli
中科院分区：
文献类型：
--
作者：
A. Burinskii;E. Elizalde;S. Hildebrandt;G. Magli
给出了一种研究具有光滑物质分布的正则黑洞内部的统一方法。该方法是基于一类克尔-Schild度量代表最小变形的克尔-纽曼解决方案，并允许我们给一个共同的治疗（带电和不带电）旋转和非旋转黑洞。它示出的源的平滑度的要求约束的核心区域的结构在许多方面：特别是，对于史瓦西孔的德西特核心可以选择，这是由一个光滑的壳包围，提供了领先的贡献源的总质量。在旋转，不带电的情况下，源有一个类似的结构，采取的形式（各向异性和旋转）德西特一样的核心所包围的旋转椭圆壳。Kerr奇异环被各向异性物质在赤道平面内的旋转所正则化，使得Kerr几何的负片消失。在带电的情况下，源采取的形式“袋”，它可以有德西特或反德西特内部和光滑的畴壁边界，与切向应力提供电荷约束。ADM和托尔曼关系被用来计算源的总质量。
A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and allows us to give a common treatment for (charged and uncharged) rotating and nonrotating black holes. It is shown that the requirement of smoothness of the source constraints the structure of the core region in many respects: in particular, for Schwarzschild holes a de Sitter core can be selected, which is surrounded by a smooth shell giving a leading contribution to the total mass of the source. In the rotating, noncharged case the source has a similar structure, taking the form of a (anisotropic and rotating) de Sitter-like core surrounded by a rotating elliptic shell. The Kerr singular ring is regularized by anisotropic matter rotating in the equatorial plane, so that the negative sheet of the Kerr geometry is absent. In the charged case the sources take the form of “bags”, which can have de Sitter or anti de Sitter interiors and a smooth domain wall boundary, with a tangential stress providing charge confinement. The ADM and Tolman relations are used to calculate the total mass of the sources.