Black hole ringdown modes are fundamental properties of the black hole spacetime. They are deeply connected to physics laws such as the No-hair theorem, Weak Cosmic Censorship and can be used to test the Area Law (2nd law of Black Hole Thermodynamics). There are many ongoing efforts regarding the excitation and characterization of black hole ringdown modes, the nonlinear regime, the spectral instability, as well as their detection in recent LIGO-Virgo events.
Recent highlights:
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.231401