Effects of fluctuations in higher-dimensional AdS black holes

We explored the impact of mass fluctuations on anti-de Sitter black holes in higher dimensions, particularly focusing on their effects on thermodynamic properties and null trajectories of the black holes. Our findings indicate that mass oscillations lead to perturbations in thermodynamic variables and geodesics. These result in the second-order fluctuations for the location of the horizon, thereby altering the Hawking temperature and Bekenstein--Hawking entropy. Furthermore, we derived equations for perturbed null rays near the horizon with arbitrary dimensions and for complete null rays in the large $D$ limit.