Introduction to dynamical horizons in numerical relativity
Introduction to dynamical horizons in numerical relativity
复制标题
数值相对论中的动态视界简介
DOI：
10.1103/physrevd.74.024028
复制
发表时间：
2006
影响因子：
5
通讯作者：
F. Beyer
中科院分区：
文献类型：
--
作者：
E. Schnetter;B. Krishnan;F. Beyer
本文提出了一种在数值模拟中研究动态黑洞物理的准局部方法。这是在动态视界框架内完成的，它将早期关于孤立视界的工作扩展到依赖时间的情况。特别是：（i）我们定位各种边缘表面，并研究它们的时间演化。一个重要的组成部分是计算视界的签名，它可以是类空的，类时的，或零。(ii)我们推广的黑洞质量和角动量的计算，这是以前定义的轴对称孤立视界的动力学情况。(iii)我们计算了黑洞的源多极矩，它可以用来验证黑洞沉降到克尔解。(iv)我们还研究了穿越视界的能量通量，它描述了黑洞如何随着物质和/或辐射的增长而增长。我们描述了我们的数值实现这些概念，并将它们应用到三个具体的测试案例，即，两个黑洞的轴对称迎面碰撞，中子星星的轴对称崩溃，和非零初始轨道角动量的非轴对称黑洞碰撞。
This paper presents a quasilocal method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent situations. In particular: (i) We locate various kinds of marginal surfaces and study their time evolution. An important ingredient is the calculation of the signature of the horizon, which can be either spacelike, timelike, or null. (ii) We generalize the calculation of the black hole mass and angular momentum, which were previously defined for axisymmetric isolated horizons to dynamical situations. (iii) We calculate the source multipole moments of the black hole which can be used to verify that the black hole settles down to a Kerr solution. (iv) We also study the fluxes of energy crossing the horizon, which describes how a black hole grows as it accretes matter and/or radiation. We describe our numerical implementation of these concepts and apply them to three specific test cases, namely, the axisymmetric head-on collision of two black holes, the axisymmetric collapse of a neutron star, and a nonaxisymmetric black hole collision with nonzero initial orbital angular momentum.