The Analytical research of images in the gravitational lens

Abstract

The paper researches images in point gravitational lenses by analytical methods. For research, the concept of a remote source and a remote image is introduced. It is shown that in the Schwarzschild gravitational lens, the remote source and its remote images do not diff er much from each other. The following theorem is formulated and proved: the remote image of the source, in an N-point gravitational lens, asymptotically tends to its remote image in the Schwarzschild lens. It is shown that the images in a single-point gravitational lens are inversion conjugate. Analytical expressions are obtained for the description of images of a circular source in the Schwarzschild lens. On this basis, the proposed classifi cation of images of a circular source of small radius in a point lens.