Ladder symmetries of black holes. Implications for love numbers and no-hair theorems

@article{Hui2022LadderSO,
  title={Ladder symmetries of black holes. Implications for love numbers and no-hair theorems},
  author={Lam Hui and Austin Joyce and Riccardo Penco and Luca Santoni and Adam R. Solomon},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2022},
  volume={2022}
}
It is well known that asymptotically flat black holes in general relativity have a vanishing static, conservative tidal response. We show that this is a result of linearly realized symmetries governing static (spin 0,1,2) perturbations around black holes. The symmetries have a geometric origin: in the scalar case, they arise from the (E)AdS isometries of a dimensionally reduced black hole spacetime. Underlying the symmetries is a ladder structure which can be used to construct the full tower of… 
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