Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-05-13
Class.Quant.Grav.27:235006,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v2: 24 pages, 3 figures + 4 figure panels; new Appendix comparing our and the Virbhadra-Ellis lens equation; new figure pointi
Scientific paper
10.1088/0264-9381/27/23/235006
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.
Gergely László Árpád
Hobill David
Horváth Zsolt
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