Résumé |
I will discuss classes of hidden symmetries of gravity and their consequences for
black holes and compact objects. It is well known that asymptotically flat black
holes in general relativity have a vanishing static tidal response (i.e., zero
Love numbers). In the talk, I will first show that this is the result of a hidden
structure of ladder symmetries governing static (spin 0,1,2) perturbations around
black holes, and I will discuss the underlying geometric origin. I will also
present examples of hidden symmetries and dualities at finite frequency and their
consequences for quasinormal modes. I will finally briefly present an effective
field theory for perturbations around black holes in scalar-tensor theories and
discuss how to connect the effective couplings to possible deviations in the
observed ringdown frequencies. |