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DTSTART:19700329T010000
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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:A Scattering Theory for Linearised Gravity on the 
 Exterior of the Schwarzschild Black Hole - Hamed M
 asaood (DPMMS)
DTSTART;TZID=Europe/London:20220520T130000
DTEND;TZID=Europe/London:20220520T140000
UID:TALK173702AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/173702
DESCRIPTION:I will talk about the scattering problem in genera
 l relativity\, and present a construction of a sca
 ttering theory resolving the problem for the linea
 rised Einstein equations in a double null gauge ag
 ainst a Schwarzschild background. The construction
  begins by dealing with the gauge invariant compon
 ents of the linearised system via the spin $\\pm2$
  Teukolsky equations and the Teukolsky--Starobinsk
 y identities\; this was the subject of  the paper 
 arXiv:2007.13658. In this talk I will discuss how 
 this theory can then extended to the full system. 
 Key to this step is the identification of suitable
  asymptotic gauge conditions on scattering data. H
 ere\, a Bondi-adapted double null gauge is shown t
 o provide the necessary gauge rigidity\, in a mann
 er that enables the identification of Hilbert-spac
 e isomorphism between finite energy scattering dat
 a and a suitable space of finite energy Cauchy dat
 a. In particular\, the gauge conditions made on sc
 attering data will allow for a global treatment of
  the BMS group and the memory effect at past and f
 uture null infinity.
LOCATION:Potter room
CONTACT:Prahar Mitra
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