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SUMMARY:A Spacetime Interpretation of the Confluent Heun Functions in Blac
 k Hole Perturbation Theory - Marica Minucci\, Bohr Inst.\, Copenhagen
DTSTART:20250606T120000Z
DTEND:20250606T130000Z
UID:TALK229975@talks.cam.ac.uk
CONTACT:Xi Tong
DESCRIPTION:In Black Hole Perturbation Theory\, confluent Heun functions a
 ppear as solutions to the radial Teukolsky equation\, which governs pertur
 bations in black hole spacetimes. While these functions are typically stud
 ied for their analytic properties\, their connection to the underlying spa
 cetime geometry has received less attention. In this talk\, I will propose
  a spacetime interpretation of the confluent Heun functions\, demonstratin
 g how their behaviour near their singular points reflects the structure of
  key surfaces in Kerr spacetimes. By interpreting homotopic transformation
 s of these functions as changes in the spacetime foliation\, I will establ
 ish 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.
LOCATION:Potter room/Zoom
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