Gravitational Lensing of Stars Surrounding Supermassive Black Holes

Physics

Scientific paper

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Black Hole Physics - Gravitational Lensing

Scientific paper

Many indications suggest that both the Milky Way and M31 host a supermassive black holes in their central regions. General Relativity tells us that these black holes, acting as gravitational lenses, are able in principle to bend the light rays of the source stars moving in their neighborhood. As a consequence of this fact, a secondary image and two infinite series of relativistic images will be generated. In the case of our Galaxy, the central supermassive black hole corresponds to the radio source Sgr A* and, thanks to the observations in the near infrared band, it has been possible to determine the orbits of several stars moving in the neighborhood of the Galactic center. In the framework of Schwarzschild black hole, it is now possible to calculate the expected light curves for the secondary and for the main relativistic images for these stars. In this way, it is easy to predict the best times to observe the secondary images, which occur when the stars approach the minimum distance from the black hole. Concerning M31, we draw some perspectives for observations.

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