BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:A Scattering Theory for Linearised Gravity on the Exterior of the 
 Schwarzschild Black Hole - Hamed Masaood (Imperial College London)
DTSTART:20230130T140000Z
DTEND:20230130T150000Z
UID:TALK195919@talks.cam.ac.uk
CONTACT:Zexing Li
DESCRIPTION:I will talk about the scattering problem in general relativity
 \, and present a construction of a scattering theory for the linearised Ei
 nstein equations in a double null gauge against a Schwarzschild background
 . The construction begins by dealing with the gauge invariant components o
 f the linearised system via the spin $\\pm2$ Teukolsky equations and the T
 eukolsky--Starobinsky identities\; this was the subject of the paper arXiv
 :2007.13658. In this talk I will discuss how this theory can then be exten
 ded to the full system. Key to this step is the identification of suitable
  asymptotic gauge conditions on scattering data. Here\, a Bondi-adapted do
 uble null gauge is shown to provide the necessary gauge rigidity\, in a ma
 nner 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 scattering theory we construct enables us to sh
 ow that\, in the global scattering problem\, the linear memory effects at 
 past and future null infinity are related by an antipodal map on the 2-sph
 ere.
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR