# Darboux covariance: A hidden symmetry of perturbed Schwarzschild black holes

@article{Lenzi2021DarbouxCA, title={Darboux covariance: A hidden symmetry of perturbed Schwarzschild black holes}, author={Michele Lenzi and Carlos F. Sopuerta}, journal={Physical Review D}, year={2021} }

Starting from the infinite set of possible master equations for the perturbations of Schwarzschild black holes, with master functions linear in the metric perturbations and their first-order derivatives, we show that of all them are connected via Darboux transformations. These transformations preserve physical quantities like the quasinormal mode frequencies and the infinite hierarchy of Korteweg-de Vries conserved quantities, revealing a new hidden symmetry in the description of the…

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