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arXiv 1005.2286gr-qcastro-ph.COhep-th
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潮汐荷电黑洞弱引力透镜的成像

Image formation in weak gravitational lensing by tidal charged black holes

Zsolt Horváth, László Árpád Gergely, David Hobill

摘要:

我们导出了一个一般的弱透镜方程,并将其应用于潮汐荷电膜黑洞产生的图像的研究。我们讨论的相似之处,并指出与史瓦西黑洞弱透镜的差异,一阶和二阶精度,无论是质量或潮汐电荷占主导地位。在质量主导的弱透镜的情况下,我们分析了图像的位置,放大因子和通量比,相比于史瓦西透镜。最引人注目的修改出现在通量比。当潮汐电荷代表主导的透镜效应时,相对于光轴的图像的数量和方向类似于史瓦西几何的透镜性质,其中与质量相关的符号与潮汐电荷相反。最后发现,在潮汐荷电黑洞的情况下,图像亮度的比值与图像间距的关系服从幂律关系,这与Schwarzschild黑洞的情况有很大不同.这可能为确定潜在的时空结构提供了一种方法。

英文摘要:

We derive a generic weak lensing equation and apply it for the study of images produced by tidal charged brane black holes. We discuss the similarities and point out the differences with respect to the Schwarzschild black hole weak lensing, to both first and second order accuracy, when either the mass or the tidal charge dominates. In the case of mass dominated weak lensing, we analyze the position of the images, the magnification factors and the flux ratio, as compared to the Schwarzschild lensing. The most striking modification appears in the flux ratio. When the tidal charge represents the dominating lensing effect, the number and orientation of the images with respect to the optical axis resembles the lensing properties of a Schwarzschild geometry, where the sign associated with the mass is opposite to that for the tidal charge. Finally it is found that the ratio of the brightness of images as a function of image separation in the case of tidal charged black holes obeys a power-law relation significantly different from that for Schwarzschild black holes. This might provide a means for determining the underlying spacetime structure.

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