Effects of fluctuations in higher-dimensional AdS black holes

We explored the impact of fluctuations on anti-de Sitter black holes in higher dimensions, focusing on their effects on the thermodynamic properties and null trajectories of the black holes. Our findings indicate that mass oscillations lead to the perturbation of the event horizon location, thereby altering the Hawking temperature and Bekenstein-Hawking entropy. Furthermore, we derived equations for perturbed null rays near the horizon with arbitrary dimensions and obtained an analytical solution in the large D limit.