The work reviews a Hamiltonian formalism for perturbations of nonrotating black holes, interprets Darboux transformations as canonical transformations, extends the axial-polar correspondence to polar cases, and demonstrates mixing transformations between axial and polar master functions.
http://hdl.handle.net/10486/121, Ph.D thesis, Univ
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Hamiltonian formalism, master functions and Darboux transformations for perturbed (interiors and exteriors of) nonrotating black holes
The work reviews a Hamiltonian formalism for perturbations of nonrotating black holes, interprets Darboux transformations as canonical transformations, extends the axial-polar correspondence to polar cases, and demonstrates mixing transformations between axial and polar master functions.