An Effective Search Method for Gravitational Ringing of Black Holes
An Effective Search Method for Gravitational Ringing of Black Holes
复制标题
黑洞引力环的有效搜索方法
DOI：
10.1103/physrevd.68.102003
复制
发表时间：
2003
影响因子：
5
通讯作者：
M. Sasaki
中科院分区：
文献类型：
--
作者：
H. Nakano;H. Takahashi;H. Tagoshi;M. Sasaki
我们发展了一种搜索黑洞引力振铃的方法。引力振铃是由于复杂的频率模式，称为准正常模式，当黑洞的几何形状被扰动时被激发。对它的探测将直接证实黑洞的存在。假设振铃波占主导地位的最小阻尼（基本）模式与最小的虚部，我们考虑匹配滤波和开发一个最佳的方法来搜索振铃波阻尼正弦波的形式。当我们使用匹配滤波方法时，需要用大量的模板进行数据分析。在这里，我们必须确保作为模板的滤波器与真实的波之间的适当匹配。在有限的计算成本下，有必要保持尽可能高的检测效率。首先，我们考虑白色噪声的情况下，匹配滤波可以研究分析。我们构造了一个有效的方法平铺模板空间。然后，利用TAMA 300 DT7噪声谱的拟合曲线，我们数值地考虑了色噪声的情况。我们发现我们的平铺方法开发的白色噪声的情况下仍然是有效的，即使噪声是有色的。
We develop a search method for gravitational ringing of black holes. The gravitational ringing is due to complex frequency modes called the quasi-normal modes that are excited when a black hole geometry is perturbed. The detection of it will be a direct confirmation of the existence of a black hole. Assuming that the ringdown waves are dominated by the least-damped (fundamental) mode with least imaginary part, we consider matched filtering and develop an optimal method to search for the ringdown waves that have damped sinusoidal wave forms. When we use the matched filtering method, the data analysis with a lot of templates required. Here we have to ensure a proper match between the filter as a template and the real wave. It is necessary to keep the detection efficiency as high as possible under limited computational costs. First, we consider the white noise case for which the matched filtering can be studied analytically. We construct an efficient method for tiling the template space. Then, using a fitting curve of the TAMA300 DT7 noise spectrum, we numerically consider the case of colored noise. We find our tiling method developed for the white noise case is still valid even if the noise is colored.