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SUMMARY:Overdamped quasinormal modes for Schwarzschild black holes - Macie
 j Zworski (Berkeley)
DTSTART:20240307T150000Z
DTEND:20240307T160000Z
UID:TALK212434@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:We prove that the number of quasinormal modes (QNM) for Schwar
 zschild and Schwarzschild–de Sitter (SdS) black holes in a disc is bound
 ed from below by the third power of the radius of the disc (in fact we giv
 e asymptotics in conic neighbourhoods of the real axis). This shows that J
 ezequel’s recent global upper bound (in the case\nof SdS) is sharp. The 
 argument is an application of spectral asymptotics results for non-self-ad
 joint operators which provide a finer description of\nQNM\, explaining the
  emergence of a distorted lattice ``deep in the complex" and generalizing 
 the lattice structure in strips described by Sa Barreto and the speaker 30
  years ago. The precise asymptotics are available in the region where nume
 rics break down due to pseudospectral effects\, a phenomenon which we will
  illustrate experimentally.  The talk is based on joint work with M. Hitri
 k.
LOCATION:MR5
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