The motion of structured test bodies in gravitational fields: Equitations of motion and their solutions

引力场中结构化测试体的运动：运动方程及其解

• 批准号: 193896206
• 负责人: Professor Dr. Claus Lämmerzahl
• 金额: --
• 依托单位: Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2011
• 资助国家: 德国
• 起止时间: 2010-12-31 至 2017-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/193896206?language=en
• 关键词: motion; structured; test; bodies; gravitational

Within general relativity (GR) the motion of test bodies is very well described by means of the geodesic equation. This is strictly true only for structureless neutral pointlike test bodies what is justified for many physical situations and observations. However, with increasing accuracy of measurements of satellite orbits and motions of binary stars it might be possible that effects related to the internal structure of test bodies – like spin and mass multipoles – may become measurable. Such test objects with internal structure are described by means of multipolar approximation (MA) schemes. One example for such a description are the so-called Mathisson–Papapetrou–Dixon (MPD) equations. In this project we like to discuss various MA schemes in view of an identification of physical quantities. We also want to characterize possible effects related to the structure (e.g. angular momentum and the mass quadrupole) of the test bodies which may be of importance for astrophysical observations, new tests of GR and gravitational wave templates. In order to do this we like to solve the MPD equations analytically for special and numerically for more general situations.

在一般相对论（GR）中，测试体的运动通过测量方程式很好地描述了。仅对于无结构的中性指向测试物体而言，这是完全正确的。但是，随着卫星轨道测量的准确性以及二元恒星的运动的精度，与测试物体的内部结构（如自旋和质量多物）相关的影响可能会变得可衡量。这种具有内部结构的测试对象是通过多极近似（MA）方案描述的。这样的描述的一个示例是所谓的Mathisson – Papapetrou-Dixon（MPD）方程。在这个项目中，我们希望讨论各种MA方案，以识别物理量。我们还希望表征与测试体的结构（例如角动量和质量四极杆）相关的可能影响，这可能对天体物理观察，GR和重力波模板的新测试至关重要。为了做到这一点，我们希望通过分析和数值来分析MPD方程，以解决更一般的情况。

项目成果

Equations of motion in scalar-tensor theories of gravity: A covariant multipolar approach

• DOI: 10.1103/physrevd.90.104041
• 发表时间: 2014-04
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Y. Obukhov;D. Puetzfeld

Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling

具有一般非最小耦合的引力理论中测试体的协变运动方程

• DOI: 10.1103/physrevd.87.044045
• 发表时间: 2013
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Dirk Puetzfeld;Yuri N. Obukhov
• 通讯作者: Yuri N. Obukhov

Motion of spinning test bodies in Kerr spacetime

• DOI: 10.1103/physrevd.90.064035
• 发表时间: 2014-08
• 期刊: Physical Review D
• 影响因子: 5
• 作者: E. Hackmann;C. Lammerzahl;Y. Obukhov;D. Puetzfeld;Isabell Schaffer

Conservation laws in gravity: A unified framework

• DOI: 10.1103/physrevd.90.024004
• 发表时间: 2014-05
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Y. Obukhov;D. Puetzfeld

Conservation laws in gravitational theories with general nonminimal coupling

具有一般非最小耦合的引力理论中的守恒定律

• DOI: 10.1103/physrevd.87.081502
• 发表时间: 2013
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Yuri N. Obukhov;Dirk Puetzfeld
• 通讯作者: Dirk Puetzfeld