Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasiequilibrium?
Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasiequilibrium?
复制标题
共形薄三明治和穿刺方法的结合能否产生准平衡的二元黑洞解？
DOI：
--
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
T. Baumgarte
中科院分区：
文献类型：
--
作者：
M. Hannam;C. Evans;G. B. Cook;T. Baumgarte
我们考虑结合两个重要的方法来构造二元黑洞的准平衡初始数据：共形薄三明治形式主义和穿刺方法。前者试图在共形三度规中实现平稳性，后者试图避免内部边界，如最小曲面或表观视界。我们表明，这两种方法使部分冲突的边界条件，确定时间片的要求。特别是，它似乎不可能构建切片是准静态的，避免物理奇点，同时连接的一个无处不在的正失效函数，一个条件，必须获得，如果要避免内部边界。对这些相互冲突的要求进行某种程度的放松，可能会产生一个可解决的系统，但将这些方法结合起来所寻求的一些优势将失去。
We consider combining two important methods for constructing quasiequilibrium initial data for binary black holes: the conformal thin-sandwich formalism and the puncture method. The former seeks to enforce stationarity in the conformal three-metric and the latter attempts to avoid internal boundaries, like minimal surfaces or apparent horizons. We show that these two methods make partially conflicting requirements on the boundary conditions that determine the time slices. In particular, it does not seem possible to construct slices that are quasistationary and that avoid physical singularities while simultaneously are connected by an everywhere positive lapse function, a condition which must be obtained if internal boundaries are to be avoided. Some relaxation of these conflicting requirements may yield a soluble system, but some of the advantages that were sought in combining these approaches will be lost.