论文标题
一般相对论poynting-Robertson效应的新方法
New approaches to the general relativistic Poynting-Robertson effect
论文作者
论文摘要
目的：迄今已通过引入不同的互补方法来开发一项关于一般相对论Poynting-Robertson效应的系统研究，该方法可以分为两种：（1）在其简单方面改善理论评估和模型，以及（2）从该系统中从该系统中提取相似的物理系统或其他类似的物理系统的系统和物理系统的信息。 方法/分析：我们使用以下理论方法：观察者分裂形式主义的相对论； Lagrangian形式主义和雷利潜力采用新的整合方法； Lyapunov理论OS稳定性。 研究结果：我们确定了一般相对论poynting-Robertson效应模型的三维公式。我们确定瑞利潜力的分析形式，并讨论其含义。我们证明，临界高空（重力和辐射力之间存在平衡的区域）是稳定的配置。 新颖 /改进：我们的新贡献是：引入了三维描述；在一般相对文献中，首次确定了一般相对论的雷利潜力；为关键性超曲面的稳定性提供了一种替代，一般，更优雅的证明。
Objectives: A systematic study on the general relativistic Poynting-Robertson effect has been developed so far by introducing different complementary approaches, which can be mainly divided in two kinds: (1) improving the theoretical assessments and model in its simple aspects, and (2) extracting mathematical and physical information from such system with the aim to extend methods or results to other similar physical systems of analogue structure. Methods/Analysis: We use these theoretical approaches: relativity of observer splitting formalism; Lagrangian formalism and Rayleigh potential with a new integration method; Lyapunov theory os stability. Findings: We determined the three-dimensional formulation of the general relativistic Poynting-Robertson effect model. We determine the analytical form of the Rayleigh potential and discuss its implications. We prove that the critical hypersurfaces (regions where there is a balance between gravitational and radiation forces) are stable configurations. Novelty /Improvement: Our new contributions are: to have introduced the three-dimensional description; to have determined the general relativistic Rayleigh potential for the first time in the General Relativity literature; to have provided an alternative, general and more elegant proof of the stability of the critical hypersurfaces.
