Gravitational lensing effect in the Universe with a Finsler background
Gravitational lensing effect in the Universe with a Finsler background
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DOI：
10.1016/j.geomphys.2023.104999
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发表时间：
2023-09
影响因子：
1.5
通讯作者：
Bin Shen
中科院分区：
文献类型：
--
作者：
Bin Shen
光的引力偏转是银河系天文学中大质量天体的一种常见效应。近年来，一些具有Finsler背景的普适模型被用来解决这一反常现象.本文考虑了一般Finsler空间中引力透镜的偏转。首先，借助于兰茨贝格角，我们给出了偏转角的四种定义，这四种定义在一般情况下互不相等。其次，我们引入了一个重要的概念，称为渐近对称Minkowski平坦（ASMF）流形，我们定义了整体法向偏转角（GNDA）以及整体切向偏转角（GTDA）。最后，我们给出了ASMF流形上GNDA的一个积分表达式。这一结果提示我们，非黎曼芬斯勒量可能包含着暗物质的信息。
The gravitational deflection of light is a common effect for the massive objects in galactic astronomy. Recently, several universal models with Finsler background were introduced to solve the abnormal phenomena. In this manuscript, we consider the deflection of gravitational lens in a general Finsler space. Firstly, with the assistance of the Landsberg angle, we introduce four definitions of the deflection angle, which are not equal mutually in general case. Secondly, we introduce an important concept called asymptotically symmetric Minkowskian flat (ASMF) manifold, on which we define the global normal deflection angle (GNDA) as well as the global tangent deflection angle (GTDA). Lastly, we present an integral expression of theGNDAon anASMFmanifold. This result suggests to us that the non-Riemannian Finsler quantities may contain the information of dark matter.