Research of the gravitational radiation by means of the black hole perturbation method and the post-Newtonian approximation

利用黑洞微扰法和后牛顿近似研究引力辐射

• 批准号: 16540251
• 负责人: TAGOSHI Hideyuki
• 金额: $ 2.48万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2007
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540251/
• 关键词: general relativity; gravitational radiation; black hole; gravitational wave detector; neutron star; astrophysics

We developed a numerical axle to compute the homogeneous solutions of the Teukolsky equation, which is the basic equation of the black hole perturbation method. The code is more accurate and more efficient than the code existed before. With this axle, we computed the gravitational waves from a star orbiting a generic bound orbit around a Kerr black hole. We also computed the recoil effect due to the emission of the linear momentum of gravitational waves.We investigated an efficient data analysis methods of gravitational waves from inspiraling spinning compact binaries. We studies the computational efficiency and the detection efficiency of an analysis method in which the waveforms are expressed in terms of a few phenomenological parameters.We investigated the detection efficiency of the gravitational waves from inspiraling compact binaries using two laser interferometric gravitational wave detectors. We compared the conventional coincident detection strategy and the coherent detection strategy. The coherent strategy is a method based on the maximum likelihood detection strategy. We have shown quantitatively, in the case of two detectors in the same site with the same orientation, that the coherent strategy is more superior than the coincident strategy.We have analyzed the data from TAMA300 detectors during the years, 2000-2004. We searched for the gravitational waves from inspiraling compact star binaries with mass between 1-3 solar mass. We found that the no signal were found with high statistical significance. We also obtained the upper limit on the Galactic event rate, 20/year, which was the most stringent observational upper limit at the time when the paper was published.

我们开发了一个数值轴来计算 Teukolsky 方程的齐次解，Teukolsky 方程是黑洞微扰方法的基本方程。该代码比以前的代码更准确、更高效。通过这个轴，我们计算了围绕克尔黑洞的通用束缚轨道运行的恒星的引力波。我们还计算了由于引力波线性动量的发射而产生的反冲效应。我们研究了一种有效的来自螺旋旋转致密双星的引力波数据分析方法。我们研究了一种分析方法的计算效率和探测效率，其中波形用一些现象学参数表示。我们使用两个激光干涉引力波探测器研究了来自吸入致密双星的引力波的探测效率。我们比较了传统的重合检测策略和相干检测策略。相干策略是一种基于最大似然检测策略的方法。我们已经定量地表明，在两个探测器位于同一地点且方向相同的情况下，相干策略比重合策略更优越。我们分析了 2000-2004 年 TAMA300 探测器的数据。我们搜索了来自质量在 1-3 个太阳质量之间的吸气致密双星的引力波。我们发现没有发现具有高统计显着性的信号。我们还得到了银河系事件发生率的上限，20次/年，这是论文发表时最严格的观测上限。

项目成果

TAMA300による合体するコンパクト連星探査

致密双星与TAMA300合并的探索

• 发表时间: 2006
• 作者: 田越秀行;他
• 通讯作者: 他

Search for gravitational waves from from inspiraling neutron star binaries with TAMA300

使用 TAMA300 搜索来自吸气中子星双星的引力波

• 发表时间: 2005
• 作者: Hideyuki;Tagoshi;et. al.
• 通讯作者: et. al.

Templates of the gravitational waves from inspiraling compact binaries and the search for gravitational waves with TAMA300

吸入致密双星的引力波模板以及使用 TAMA300 寻找引力波

• 发表时间: 2004
• 作者: Hideyuki;Tagoshi;et. al.
• 通讯作者: et. al.

Coherent analysis of gravitational waves from inspiraling compact star binaries

吸气致密星双星引力波的相干分析

• 发表时间: 2007
• 作者: Hideyuki;Tagoshi;et. al.
• 通讯作者: et. al.

Detecting gravitational waves from inspiraling binaries with a network of detectors : coherent versus coincident strategies

用探测器网络探测来自吸气双星的引力波：相干与重合策略

• 发表时间: 2006
• 期刊: Phys. Rev D74, 083005
• 作者: Himan;Mukhopadhyay;Norichika;Sago;Hideyuki;Tagoshi;Sanjeev;Dhurandhar;Hirotaka;Takahashi;Nobuyuki;Kanda
• 通讯作者: Kanda