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… 
Isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes
We study the quasinormal frequencies of three effective geometries of nonrotating regular black holes derived from loop quantum gravity. Concretely, we consider the Ashtekar-Olmedo-Singh and two

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