A Spacetime Interpretation of the Confluent Heun Functions in Black Hole Perturbation Theory

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• Marica Minucci, Bohr Inst., Copenhagen
• Friday 06 June 2025, 13:00-14:00
• Potter room/Zoom.

If you have a question about this talk, please contact Xi Tong.

In Black Hole Perturbation Theory, confluent Heun functions appear as solutions to the radial Teukolsky equation, which governs perturbations in black hole spacetimes. While these functions are typically studied for their analytic properties, their connection to the underlying spacetime geometry has received less attention. In this talk, I will propose a spacetime interpretation of the confluent Heun functions, demonstrating how their behaviour near their singular points reflects the structure of key surfaces in Kerr spacetimes. By interpreting homotopic transformations of these functions as changes in the spacetime foliation, I will establish a connection between these solutions and various regions of the black hole’s global structure. I will also explore their relationship with the hyperboloidal formulation of the radial Teukolsky equation.

This talk is part of the DAMTP Friday GR Seminar series.

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