Dirac QNMs on asymptotically anti-de Sitter spacetimes with Robin boundary conditions

In this talk, I will briefly introduce our recent work of Dirac quasinormal modes (QNMs) on asymptotically anti-de Sitter (AdS) spacetimes by imposing Robin type vanishing energy flux boundary conditions (BCs). We first study neutral Dirac fields propagating on a Schwarzschild-AdS spacetimes. After deriving the equations of motion for Dirac fields on the aforementioned background, we impose vanishing energy flux boundary conditions to solve this equation. We find a set of two Robin boundary conditions, which lead to two different branches of QNMs. We then add charge to both the field and the background, and study charge effects on Dirac QNMs. Our results show that vanishing energy flux boundary conditions are a robust principle, which can be applied not only to bosonic but also to fermonic fields.