Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
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DOI：
10.1103/physrevd.98.044033
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发表时间：
2018-05
影响因子：
5
通讯作者：
A. Övgün
中科院分区：
文献类型：
--
作者：
A. Övgün
在本文中，利用小野、石原和浅田（OIA）提出的最新方法，将吉本斯和维尔纳的思想扩展到静止和轴对称情况，我们将高斯-博内定理应用于非旋转和旋转达穆尔-索洛杜欣虫洞时空的光学度量，以研究这些物体的弱引力透镜效应。此外，我们使用Bozza方法研究了非旋转Damour-Solodukhin虫洞的强引力透镜效应，以观察弱透镜效应和强透镜效应之间的差异。我们证明了达穆尔-索洛杜辛虫洞的强偏转角和准法线模式之间的关系。有趣的是，与之前对史瓦西黑洞引力透镜效应的研究相比，我们发现虫洞参数 $\lambda$ 在强和弱极限下影响光的偏转。因此，这些结果提供了一个独特的工具来揭示虫洞的可能存在。
In this paper, using the recent method proposed by Ono, Ishihara and Asada (OIA) who extend the idea of Gibbons and Werner to the stationary and axisymmetric case, we apply the Gauss-Bonnet theorem to the optical metric of the non-rotating and rotating Damour-Solodukhin wormholes spacetimes to study the weak gravitational lensing by these objects. Furthermore, we study the strong gravitational lensing by the non-rotating Damour-Solodukhin wormholes using the Bozza's method to see the differences between the weak lensing and the strong lensing. We demonstrate the relation between the strong deflection angle and quasinormal modes of the Damour-Solodukhin wormholes. Interestingly it is found that the wormhole parameter $\lambda$, affects the deflection of light in strong and weak limits compared to the previous studies of gravitational lensing by Schwarzschild black holes. Hence, the results provide a unique tool to shed light on the possible existence of wormholes.