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arXiv 0904.0362gr-qchep-th
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规范重力模型中微结构试验体的运动

The motion of test bodies with microstructure in gauge gravity models

Dirk Puetzfeld

摘要:

我们报告的极-偶极粒子的运动方程的显式形式的一个非常大的类的引力理论。在非黎曼框架中导出的方程允许一个统一的描述几乎所有已知的引力理论。传播方程的多极展开法的帮助下,从守恒定律,遵循诺特定理。众所周知的广义相对论的传播方程,例如,如Mathisson和Papapetrou给出的,代表了我们一般框架中的一个特例。我们的形式允许直接识别规范重力模型中的物质流和重力场强度之间的耦合。特别是,它说明了需要与微观结构的非黎曼时空几何检测的问题。

英文摘要:

We report on the explicit form of the equations of motion of pole-dipole particles for a very large class of gravitational theories. The non-Riemannian framework in which the equations are derived allows for a unified description of nearly all known gravitational theories. The propagation equations are obtained with the help of a multipole expansion method from the conservation laws that follow from Noether's theorem. The well-known propagation equations of general relativity, e.g., as given by Mathisson and Papapetrou, represent a special case in our general framework. Our formalism allows for a direct identification of the couplings between the matter currents and the gravitational field strengths in gauge gravity models. In particular, it illustrates the need for matter with microstructure for the detection of non-Riemannian spacetime geometries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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