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SUMMARY:Conformal Weyl Dynamics and Black Hole Stability: New Insights int
 o Quasinormal Modes - Dr Nader Haddad | Cambridge University 
DTSTART:20260106T163000Z
DTEND:20260106T173000Z
UID:TALK242518@talks.cam.ac.uk
CONTACT:Dr Nader Haddad
DESCRIPTION:Understanding the stability of rotating black holes and the st
 ructure of their quasinormal mode spectra is central to gravitational wave
  physics and strong-field tests of general relativity. In this talk\, I pr
 esent a novel theoretical framework that reformulates black hole perturbat
 ion theory through the conformal properties of the Weyl tensor. By constru
 cting a new conformal invariant from the electric and magnetic components 
 of the Weyl tensor\, I introduce a conformal stability functional whose si
 gn provides a necessary and sufficient criterion for mode stability.\nThis
  approach leads to a unified master equation that naturally connects and e
 xtends the Regge–Wheeler–Zerilli and Teukolsky formalisms. Two fundame
 ntal results follow: a conformal stability theorem linking black hole stab
 ility to the definiteness of the invariant functional\, and an isospectral
 ity theorem for conformally related black hole spacetimes. Applying the fo
 rmalism to Schwarzschild\, Kerr\, and Kerr–Newman geometries\, I demonst
 rate analytically and numerically the emergence of previously unexplored b
 ranches in the quasinormal mode spectrum\, with deviations reaching severa
 l percent in the near-extremal Kerr regime.\nI conclude by discussing the 
 observational implications of these conformal corrections for gravitationa
 l wave ringdown signals and black hole shadow measurements\, highlighting 
 how future detectors and high-resolution imaging may provide empirical acc
 ess to the conformal structure of spacetime in the strong-gravity regime.
LOCATION:Astrophysics New Small Meeting Room\, Cavendish Laboratory
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