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arXiv 1111.7082gr-qcmath-phmath.DGmath.MP
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具有解析奇异性且无闭合类时曲线的Kerr-Newman解

Kerr-Newman Solutions with Analytic Singularity and no Closed Timelike Curves

Ovidiu-Cristinel Stoica

摘要:

结果表明,Kerr-Newman解,代表带电和旋转的静态黑洞,承认解析扩展的奇异性。这种推广是通过使用新的坐标,其中的度量张量变得光滑的奇异环。在奇点上,度规是退化的--它的行列式抵消。可以自然地选择解析延拓,使得具有负r的区域不再存在,从而消除了通常存在于克尔和克尔-纽曼解中的封闭类时曲线。在这里提出的扩展的电磁势是光滑的,从而能够提供非奇异模型的带电自旋粒子。这个解的最大解析延拓可以被限制在一个包含外部宇宙的全局双曲区域,具有与闵可夫斯基时空相同的拓扑。这允许在柯西超曲面的类空叶理,在其上包含在初始数据中的信息被保存。

英文摘要:

It is shown that the Kerr-Newman solution, representing charged and rotating stationary black holes, admits analytic extension at the singularity. This extension is obtained by using new coordinates, in which the metric tensor becomes smooth on the singularity ring. On the singularity, the metric is degenerale - its determinant cancels. The analytic extension can be naturally chosen so that the region with negative r no longer exists, eliminating by this the closed timelike curves normally present in the Kerr and Kerr-Newman solutions. On the extension proposed here the electromagnetic potential is smooth, being thus able to provide non-singular models of charged spinning particles. The maximal analytic extension of this solution can be restrained to a globally hyperbolic region containing the exterior universe, having the same topology as the Minkowski spacetime. This admits a spacelike foliation in Cauchy hypersurfaces, on which the information contained in the initial data is preserved.

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