The Effects of Finite Distance on the Gravitational Deflection Angle of Light
The Effects of Finite Distance on the Gravitational Deflection Angle of Light
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DOI：
10.3390/universe5110218
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发表时间：
2019-06
期刊：
影响因子：
2.9
通讯作者：
T. Ono;H. Asada
中科院分区：
文献类型：
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作者：
T. Ono;H. Asada
为了阐明从透镜物体到光源和接收器的有限距离的影响，最近利用微分几何中的高斯-博内特（GB）定理重新研究了光的引力偏转（Ishihara等人。2016）。本文的目的是对上述论文所开创的一系列工作进行简要回顾。首先，我们定义了静态、球对称和渐近平坦时空中有限距离光源和接收器的光的引力偏转角。利用GB定理讨论了定义的几何不变性。利用该定义讨论了有限距离效应对史瓦西时空中弱偏转和强偏转光偏转的影响。接下来，我们将这个定义扩展到定常和轴对称时空。我们计算了Kerr黑洞和旋转Teo虫洞中有限距离对光偏转角的影响。如果我们取无限距离极限，我们的结果与以前的工作是一致的。我们还简要地提到有限距离对人马座A * 的光偏转的影响。
In order to clarify the effects of the finite distance from a lens object to a light source and a receiver, the gravitational deflection of light has been recently reexamined by using the Gauss–Bonnet (GB) theorem in differential geometry (Ishihara et al. 2016). The purpose of the present paper is to give a short review of a series of works initiated by the above paper. First, we provide the definition of the gravitational deflection angle of light for the finite-distance source and receiver in a static, spherically symmetric and asymptotically flat spacetime. We discuss the geometrical invariance of the definition by using the GB theorem. The present definition is used to discuss finite-distance effects on the light deflection in Schwarzschild spacetime for both the cases of weak deflection and strong deflection. Next, we extend the definition to stationary and axisymmetric spacetimes. We compute finite-distance effects on the deflection angle of light for Kerr black holes and rotating Teo wormholes. Our results are consistent with the previous works if we take the infinite-distance limit. We briefly mention also the finite-distance effects on the light deflection by Sagittarius A * .