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SUMMARY:The Teukolsky equation on Kerr black hole spacetimes - Rita Teixei
 ra da Costa (University of Cambridge)
DTSTART:20200311T160000Z
DTEND:20200311T170000Z
UID:TALK139090@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:The Teukolsky equation is one of the fundamental equations gov
 erning linear gravitational perturbations of the Kerr black hole family. M
 aking use of the separability of the equation\, we study fixed frequency s
 olutions and obtain estimates which are uniform in the separation paramete
 rs. \n\nAs a corollary we show that solutions of the Teukolsky equation ar
 e bounded and decay in time\; this is a key first step in establishing lin
 ear stability of Kerr. Moreover\, our estimates can also shed light on mor
 e delicate features of the Teukolsky equation\, such as their scattering p
 roperties.\n\nThis is joint work with Yakov Shlapentokh-Rothman (Princeton
 ).
LOCATION:MR14\, Centre for Mathematical Sciences
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