Black Hole As A Diverging Lens

The goal of this research is to determine if one is able to see the back of their head when looking through a telescope facing sideways to a Schwarzschild black hole. Compared to the amount of knowledge that has been accumulated over hundreds of thousands of years regarding celestial bodies, there is still little-known information about black holes. The scientific community will greatly benefit from the study of the behaviour of light around black holes. Specific concepts and equations are utilized to complete photon trajectory simulations in Python using the fourth-order Runge Kutta (RK4) method. Using the concept of tracing rays back to the image points in the case of a plane mirror, we are able to find where each light ray converges back to a point. Our results lead us to conclude that the black hole acts on the light rays as a diverging lens. This research serves multiple purposes, including developing a greater understanding of how light behaves in the vicinity of a black hole, gaining more coding experience in Python, as well as satisfying pure curiosity.