论文标题
轴向对称的黑洞与常规视野
Axially symmetric rotating black hole with regular horizons
论文作者
论文摘要
我们考虑了轴向对称旋转黑洞的度量。我们不指定度量的具体形式，而仅依靠其在地平线附近的行为。通常，它是由两个整数$ p $和$ q $的坐标（在概括Boyer-Lindquist概括的坐标中）进行的，它们输入了主要近似值的时间和径向度量系数。对于给定的$ P，$ $ Q $，我们找到了通用表格，该表格是常规的，以及度量系数的扩展如何。我们比较了两种类型的需求：（i）曲率不变性的界限，（ii）在自由下降框架中曲率张量的单独组件的界限。分别针对非XTREMAL，极端和超高范围进行了分析。
We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the Boyer-Lindquist ones) by two integers $p$ and $q$ that enter asymptotic expansions of the time and radial metric coefficients in the main approximation. For given $p,$ $q$ we find a general form for which the metric is regular, and how the expansions of the metric coefficients look like. We compare two types of requirement: (i) boundedness of curvature invariants, (ii) boundedness of separate components of the curvature tensor in a free falling frame. Analysis is done for nonextremal, extremal and ultraextremal horizons separately.
