Geometric inequalities for axially symmetric black holes
Geometric inequalities for axially symmetric black holes
复制标题
轴对称黑洞的几何不等式
DOI：
10.1088/0264-9381/29/7/073001
复制
发表时间：
2011
影响因子：
3.5
通讯作者：
S. Dain
中科院分区：
文献类型：
--
作者：
S. Dain
广义相对论中的一个几何不等式涉及既有物理解释又有几何定义的量。众所周知，表征Kerr-Newman黑洞的参数满足几个重要的几何不等式。值得注意的是，其中一些不等式也适用于动态黑洞。这类不等式在引力坍缩的刻画中起着重要的作用，它们与宇宙监督猜想密切相关。轴对称黑洞是研究这些不等式的自然候选者，因为它们的准局域角动量是很好定义的。我们回顾最近的结果在这个问题上，我们也描述了背后的证明的主要思想。最后，列出了一个相关的开放问题。
A geometric inequality in general relativity relates quantities that have both a physical interpretation and a geometrical definition. It is well known that the parameters that characterize the Kerr–Newman black hole satisfy several important geometric inequalities. Remarkably enough, some of these inequalities also hold for dynamical black holes. This kind of inequalities play an important role in the characterization of the gravitational collapse; they are closely related with the cosmic censorship conjecture. Axially symmetric black holes are the natural candidates to study these inequalities because the quasi-local angular momentum is well defined for them. We review recent results in this subject and we also describe the main ideas behind the proofs. Finally, a list of relevant open problems is presented.