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SUMMARY:Symmetries of Black Hole Perturbation Theory - Adam Solomon (Carne
 gie Mellon University)
DTSTART:20210504T150000Z
DTEND:20210504T160000Z
UID:TALK158914@talks.cam.ac.uk
CONTACT:James Bonifacio
DESCRIPTION:We present novel symmetries of perturbation theory around rota
 ting and non-rotating black holes in general relativity\, and discuss thei
 r origins and implications for gravitational-wave astronomy. This is motiv
 ated by two special aspects of black hole perturbations in four dimensions
 : isospectrality of quasinormal modes and the vanishing of tidal Love numb
 ers. There turn out to be off-shell symmetries underlying both of these ph
 enomena. One is a duality\, which on shell reproduces the famous Chandrase
 khar duality and therefore underlies isospectrality\, and can be thought o
 f as an extension of electric-magnetic duality to black hole backgrounds. 
 The other is an infinite set of "ladder symmetries" relating modes of diff
 erent angular momentum or spin\, which imply the vanishing of Love numbers
 . We further discuss the geometric origins of these symmetries.
LOCATION:CMS\, Pav. B\, CTC Common Room (B1.19) [Potter Room]
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