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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References

SHOWING 1-10 OF 61 REFERENCES
Intertwining of the equations of black-hole perturbations.
TLDR
For both Schwarzschild and Reissner-Nordstrom black holes, equations have been given in which the dynamics of perturbations are governed by effective potentials, and the odd-parity potentials are markedly simpler and are necessary for certain semianalytic approaches to numerical studies.
Darboux transformation in black hole perturbation theory
The Darboux transformation between ordinary differential equations is a 19th century technique that has seen wide use in quantum theory for producing exactly solvable potentials for the Schrodinger
The quasi-normal modes of the Schwarzschild black hole
The quasi-normal modes of a black hole represent solutions of the relevant perturbation equations which satisfy the boundary conditions appropriate for purely outgoing (gravitational) waves at
On algebraically special perturbations of black holes
  • S. Chandrasekhar
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1984
Algebraically special perturbations of black holes excite gravitational waves that are either purely ingoing or purely outgoing. Solutions, appropriate to such perturbations of the Kerr, the
On the equations governing the perturbations of the Reissner–Nordström black hole
  • S. Chandrasekhar
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1979
By considering suitable combinations of the Weyl scalars and the spin coefficients, the basic equations governing the perturbations of the Reissner–Nordström black hole, in the Newman–Penrose
TOPICAL REVIEW: Quasinormal modes of black holes and black branes
Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and
Resolution of the mystery behind Chandrasekhar's black hole transformations
Investigating, in normal form, the three differential equations of (i) Zerilli (1970), (ii) Bardeen and Press (1973), (iii) Regge and Wheeler (1957), governing the perturbations of the Schwarzschild
On the equations governing the perturbations of the Schwarzschild black hole
  • S. Chandrasekhar
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1975
A coherent self-contained account of the equations governing the perturbations of the Schwarzschild black hole is given. In particular, the relations between the equations of Bardeen & Press, of
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