论文标题
Schwarzschild-Finsler-randers时空：动力学分析，测量和偏转角度
Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
论文作者
论文摘要
在这项工作中，我们扩展了先前由本作者的子集进行了研究的Schwarzschild-Finsler-randers（SFR）时空的研究（Triantafyllopoulos等人在Eur J 80（12）：1200，2020; Kapsabelis等人的Kapsabelis等人in Eur J C 81（11）：990，2021）。我们将研究地球学的动力学分析，该分析提供了沿SFR时空的大地测量线移动的粒子的能量和角动量的推导。这项研究使我们能够将模型与一般相对论的相应（GR）进行比较。此外，检查了SFR模型的有效潜力，并将其与GR的有效潜力进行了比较。还比较了这些有效电位产生的相肖像。最后，我们处理了SFR时空的挠度角的推导，并发现GR的偏转角出现了很小的扰动。我们还得出了SFR模型的挠度角度与Shapiro等人的相应结果之间的有趣关系（Phys Rev Lett 92（12）：121101，2004）。这些小差异归因于模型的各向异性度量结构，尤其是randers术语，该术语与GR相偏差。
In this work, we extend the study of Schwarzschild-Finsler-Randers (SFR) spacetime previously investigated by a subset of the present authors (Triantafyllopoulos et al. in Eur Phys J C 80(12):1200, 2020; Kapsabelis et al. in Eur Phys J C 81(11):990, 2021). We will examine the dynamical analysis of geodesics which provides the derivation of the energy and the angular momentum of a particle moving along a geodesic of SFR spacetime. This study allows us to compare our model with the corresponding of general relativity (GR). In addition, the effective potential of SFR model is examined and it is compared with the effective potential of GR. The phase portraits generated by these effective potentials are also compared. Finally we deal with the derivation of the deflection angle of the SFR spacetime and we find that there is a small perturbation from the deflection angle of GR. We also derive an interesting relation between the deflection angles of SFR model and the corresponding result in the work of Shapiro et al (Phys Rev Lett 92(12):121101, 2004). These small differences are attributed to the anisotropic metric structure of the model and especially to a Randers term which provides a small deviation from the GR.
