Contributed Session 3:
Modeling, Math Biology and Math Finance
Beyond the Event Horizon: Mathematical Insights into Black Hole Shadows
Sehrish Iftikhar
Lahore College for Women University, Lahore, Pakistan. Pakistan
Co-Author(s): Dr. Sehrish Iftikhar
Abstract:
In this research work we study the shadow cast by a black hole which turns out to be a dark region covered by a deformed circle. We then derive the relevant photon orbits and discuss the effects of black hole parameters on the silhouette of the shadow. We observe the change in the size as well as the shape such as deviation from the perfect circle, of the shadow with variation in the black hole parameters. In view of the optical properties of the black hole, the shadow region is supposed to be equal to the high energy absorption cross section. According to this perspective, we also explore the rate of energy emission. Moreover, we introduce plasma background and discuss its influence on the nature of the shadow, such as shape, size and the rate of energy emission. We also compare our results with current observational data from M87 and Sgr A*.