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SUMMARY:A Scattering Theory for Linearised Gravity on the Exterior of the 
 Schwarzschild Black Hole - Hamed Masaood (DPMMS)
DTSTART:20220520T120000Z
DTEND:20220520T130000Z
UID:TALK173702@talks.cam.ac.uk
CONTACT:Prahar Mitra
DESCRIPTION:I will talk about the scattering problem in general relativity
 \, and present a construction of a scattering theory resolving the problem
  for the linearised Einstein equations in a double null gauge against a Sc
 hwarzschild background. The construction begins by dealing with the gauge 
 invariant components of the linearised system via the spin $\\pm2$ Teukols
 ky equations and the Teukolsky--Starobinsky identities\; this was the subj
 ect of  the paper arXiv:2007.13658. In this talk I will discuss how this t
 heory can then extended to the full system. Key to this step is the identi
 fication of suitable asymptotic gauge conditions on scattering data. Here\
 , a Bondi-adapted double null gauge is shown to provide the necessary gaug
 e rigidity\, in a manner that enables the identification of Hilbert-space 
 isomorphism between finite energy scattering data and a suitable space of 
 finite energy Cauchy data. In particular\, the gauge conditions made on sc
 attering data will allow for a global treatment of the BMS group and the m
 emory effect at past and future null infinity.
LOCATION:Potter room
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