Research on gravitational waves based on black hole perturbation theory

基于黑洞微扰理论的引力波研究

• 批准号: 12640269
• 负责人: SASAKI Misao
• 金额: $ 2.56万
• 依托单位: KYOTO UNIVERSITY (2003)Osaka University (2000-2002)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640269/
• 关键词: black hole; gravitutional wave; radiation reaction; self regularization; 重力波天文学; 重力波源; 自己力の正則化; 自己力正則化; 自己重力正則化; コンパクト連星; ポストニュートン展開; 自己重力の反作用

In recent years, much attention has been paid to establishing the basis for gravitational wave astronomy, that is, to understand physics of gravitational wave sources accurately.In this project, adopting the black hole perturbation approach, we focused on the orbital evolution of a binary system with a supermassive black hole and a compact star that includes gravitational radiation force. In this approach, a compact star is approximated as a point. particle and this requires us to regularize the reaction force acting on it. To derive the regularized reaction force, it is necessary to solve a so-called gauge problem as well as to construct an accurate and efficient method of regularization.To solve the gauge problem, we proposed two methods: One is to regularize the reaction force in the harmonic gauge and the other is to do so in the Regge-Wheeler gauge. Through this research, we made clear how the gauge problem can be solved.As for constructing an efficient method of regularization, we developed an analytical method based on the post-Newton expansion. The advantage of this method is, though it needs the post-Newton expansion, once the calculation is done it can be applied to any orbit.At present, we are investigating the necessary post-Newton order for an actual computation of the orbital evolution, and it will be made clear in the near future.

近年来，建立引力波天文学的基础，即准确理解引力波源的物理特性，一直是人们关注的焦点，本项目采用黑洞微扰方法，重点研究了包含引力辐射力的超大质量黑洞-致密星星双星系统的轨道演化。在这种方法中，一个紧凑的星星近似为一个点。为了得到正则化的反作用力，需要解决一个所谓的规范问题，并构造一种精确有效的正则化方法，为了解决规范问题，我们提出了两种方法：一种是在谐振规范中正则化反作用力，另一种是在Regge-Wheeler规范中正则化反作用力。通过这些研究，我们明确了如何解决规范问题。至于构造一个有效的正则化方法，我们开发了一个基于后牛顿展开的解析方法。这种方法的优点是，虽然它需要后牛顿展开，但一旦计算完成，它就可以应用于任何轨道。目前，我们正在研究实际计算轨道演化所需的后牛顿阶数，这将在不久的将来得到明确。

项目成果

H Nakano, N.Sago, M.Sasaki: "Gauge problem in the gravitational self-force : First post Newtonian force under Regge-Wheeler gauge"Phys.Rev.. D68. 124003 (2003)

H Nakano、N.Sago、M.Sasaki：“引力自力中的规范问题：Regge-Wheeler 规范下的第一个后牛顿力”Phys.Rev..D68。

Hiroyuki NAKANO: "The Gravitational Reaction Force on a Particle in the Schwarzschild Background"Progress of Theoretical Physics. 105. 197-218 (2001)

Hiroyuki NAKANO：“史瓦西背景中粒子的引力反作用力”理论物理进展。

Hideyuki TAGOSHI: "Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order"Physical Review D. 63. 044006-1-044006-14 (2001)

Hideyuki TAGOSHI：“将致密双星旋转至 2.5 后牛顿阶的引力场和运动方程”物理评论 D. 63. 044006-1-044006-14 (2001)

中野 寛之: "Gauge Problem in the Gravitational Self-Force : First Post-Newtonian Force in the Regge-Wheeler Gauge"Physical Review D. 68. 124003 (2003)

Hiroyuki Nakano：“引力自力中的规范问题：雷格-惠勒规范中的第一个后牛顿力”物理评论 D. 68. 124003 (2003)

Hideyuki TAGOSHI: "First search for gravitational waves from inspiraling compact binaries using TAMA300 data"Physical Review D. 63. 062001-1-062001-5 (2001)

Hideyuki TAGOSHI：“使用 TAMA300 数据首次搜索来自吸气致密双星的引力波”物理评论 D. 63. 062001-1-062001-5 (2001)