Speaker
Marica Minucci
(Niels Bohr Institute)
Description
In Black Hole Perturbation Theory (BHPT), confluent Heun functions emerge as solutions to the radial Teukolsky equation, which governs the dynamics of perturbations in black hole spacetimes. While these functions have traditionally been studied for their analytic properties, their connection to the underlying spacetime geometry has been less explored. In this talk, I will present a spacetime interpretation of the confluent Heun functions, showing how their distinctive behaviour near their singular points reflects the structure of key surfaces in Kerr spacetimes. Additionally, I will explore their relationship with solutions to the radial Teukolsky equation in compactified hyperboloidal coordinates.
Author
Marica Minucci
(Niels Bohr Institute)
Co-author
Dr
Rodrigo Panosso Macedo
(Niels Bohr Institute)