Spin- perturbations of the Kerr-Newman solution

GFT del Castillo, G Silva-Ortigoza - Physical Review D, 1992 - APS
GFT del Castillo, G Silva-Ortigoza
Physical Review D, 1992APS
The equations for the spin-3 2 perturbations of a rotating charged black hole given by the
linearized O (2) extended supergravity model are solved, expressing their complete solution
in terms of two Debye potentials that obey the same differential equation. The equation
governing the radial parts of the Debye potentials is transformed into a Schrödinger-type
equation with a short-range real potential. It is also shown that there exist spin-3 2
perturbations corresponding only to ingoing or only to outgoing waves.
Abstract
The equations for the spin-3 2 perturbations of a rotating charged black hole given by the linearized O (2) extended supergravity model are solved, expressing their complete solution in terms of two Debye potentials that obey the same differential equation. The equation governing the radial parts of the Debye potentials is transformed into a Schrödinger-type equation with a short-range real potential. It is also shown that there exist spin-3 2 perturbations corresponding only to ingoing or only to outgoing waves.
American Physical Society
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