Schwarzshild-Finsler-Randers 时空中的 Raychaudhuri 方程、潮汐力与弱场极限
Raychaudhuri equations, Tidal forces and Weak field Limit in Schwarzshild-Finsler-Randers spacetime
AI总结：
本文研究了 Schwarzshild-Finsler-Randers 时空中的测地线偏离、Raychaudhuri 方程扩展及弱场极限，揭示了由 Lorentz 切丛结构引入的额外自由度对引力场方程的影响。
摘要：
本文研究了先前论文探讨过的 Schwarzshild-Finsler-Randers (SFR) 时空中的测地线偏离（潮汐力）形式及 Raychaudhuri 方程。该模型通过考虑时空的 Lorentz 切丛结构，特别是广义度量空间（如 Finsler 类时空，存在不止一个曲率张量）中的曲率类型而获得。在这些情况下，Raychaudhuri 方程的概念因内禀变量（如速度或各向异性向量场）的依赖性而扩展出额外项和自由度。此外，我们考察了该时空弱场极限的一些推论，并研究了包含 Poisson 方程推广的 Newton 极限方程。
英文摘要：
In this article, we study the form of deviation of geodesics (tidal forces) and Raychaudhuri equation in a Schwarzshild-Finsler-Randers (SFR) spacetime which has been investigated in previous papers. This model is obtained by considering the structure of a Lorentz tangent bundle of spacetime and in particular the kind of the curvatures in generalized metric spaces where there is more than one curvature tensor, such as Finsler-like spacetimes. In these cases, the concept of the Raychaudhuri equation is extended with extra terms and degrees of freedom from the dependence of internal variables as the velocity or an anisotropic vector field. Additionally, we investigate some consequences of the weak field limit on the spacetime under consideration and study the Newtonian limit equations which include a generalization of the Poisson equation.
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。
