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.

在广义相对论中，用测地线方程很好地描述了试验体的运动。严格来说，这只适用于无结构的中立点状测试体，这对于许多物理情况和观察都是合理的。然而，随着卫星轨道和双星运动测量精度的提高，与测试体内部结构有关的影响--如自旋和质量多极--可能变得可测量。这种具有内部结构的测试对象通过多极近似(MA)方案来描述。这种描述的一个例子是所谓的Mathisson-Papapetrou-Dixon(MPD)方程。在这个项目中，我们希望从物理量的识别角度来讨论各种MA方案。我们还想描述与测试体的结构(例如角动量和质量四极矩)有关的可能影响，这可能对天体物理观测、GR和引力波模板的新测试具有重要意义。为了做到这一点，我们喜欢对特殊情况下的MPD方程进行解析求解，对更一般情况下的MPD方程进行数值求解。

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

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

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 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