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SUMMARY:Clines and the analytic structure of black hole perturbations
DTSTART;VALUE=DATE-TIME:20260821T161500Z
DTEND;VALUE=DATE-TIME:20260821T163500Z
DTSTAMP;VALUE=DATE-TIME:20260828T004230Z
UID:indico-contribution-1455@indico.uni.edu.pe
DESCRIPTION:Speakers: Luis Fernando Temoche (Utah State University)\nWe re
 visit black hole perturbations through Heun differential equations\, focus
 ing on Frobenius power-series solutions near regular singularities and the
 ir connection formulas. Central to our approach is the notion of a cline i
 n the complex plane\, which organizes singular points of the differential 
 equations and remain invariant under Möbius transformations. Building on 
 the cline structure we identified in black hole horizons\, we carry out a 
 systematic reduction and relocation of poles in the differential equation 
 to obtain explicit representations of the solutions. We illustrate our app
 roach by extracting the scalar perturbation solutions for the 7-dimensiona
 l Myers-Perry black hole and deriving the static scalar tidal Love numbers
 . These results suggest that clines expose a Möbius-invariant order withi
 n black hole perturbations\, rendering black hole perturbation problems re
 markably tractable.\n\nhttps://indico.uni.edu.pe/event/184/contributions/1
 455/
LOCATION:UNI\, Lima Perú Auditorio de la Facultad de Ciencias
URL:https://indico.uni.edu.pe/event/184/contributions/1455/
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