'Missing image' in gravitational lens systems?

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Galactic Nuclei, Gravitational Lenses, Density Distribution, Mass Distribution

Scientific paper

An analytical model is developed for describing the effects of the physical characteristics of a compact galactic core acting as a gravitational lens (GL) for images passing through it. A scattering function is defined to account for the mass and radius of a core with a constant surface density. The function is used to relate the image position to the source position, a matter of interest because of predictions that passage through a GL will result in an odd number of images, while only even numbers of images have been observed. The calculations show that the odd image will be depressed in intensity by 10 mag and located 80 times closer to the galactic nucleus relative to the original image position. Numerical results are presented for the intensity ratios for the expected lens systems 0957 + 561, 2345 + 007 and 2016 + 112. The results show that significant odd image dimming occurs even without considering the nucleus. Finally, it is predicted that odd image intensification may occur with a clumpy lens nucleus, and techniques for obtaining observational data for this effect are outlined.

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