Weakly perturbed Schwarzschild lens in the strong deflection limit

被引:44
作者
Bozza, V.
Sereno, M.
机构
[1] Univ Salerno, Dipartimento Fis ER Caianiello, I-84081 Baronissi, SA, Italy
[2] Ist Nazl Fis Nucl, Sez Napoli, Naples, Italy
[3] Univ Zurich, Inst Theoret Phys, CH-8057 Zurich, Switzerland
来源
PHYSICAL REVIEW D | 2006年 / 73卷 / 10期
关键词
D O I
10.1103/PhysRevD.73.103004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the strong deflection limit of gravitational lensing by a Schwarzschild black hole embedded in an external gravitational field. The study of this model, analogous to the Chang and Refsdal lens in the weak deflection limit, is important to evaluate the gravitational perturbations on the relativistic images that appear in proximity of supermassive black holes hosted in galactic centers. By a simple dimensional argument, we prove that the tidal effect on the light ray propagation mainly occurs in the weak field region far away from the black hole and that the external perturbation can be treated as a weak field quadrupole term. We provide a description of relativistic critical curves and caustics and discuss the inversion of the lens mapping. Relativistic caustics are shifted and acquire a finite diamond shape. Sources inside the caustics produce four sequences of relativistic images. On the other hand, retro-lensing caustics are only shifted while remaining pointlike to the lowest order.
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页数:10
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