An axially symmetric scalar field as a gravitational lens

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Scientific paper

The gravitational lensing due to an axially symmetric lens with a minimally coupled scalar field is considered. Comparison is made with the case of a spherically symmetric lens analysed previously in the literature, and a different dependence of the image positions on the `scalar charge' is found. In particular, while the formation of four images, two Einstein rings and one radial critical curve (RCC) is possible for different configurations with both types of lenses, their positions are different from one metric to the other. Nevertheless, these differences are very small and, even if such configurations are ever observed, it seems to be very difficult to distinguish between the spacetimes studied here.

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