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SUMMARY:A black hole uniqueness theorem - Spyros Alexakis (MIT)
DTSTART:20090604T090000Z
DTEND:20090604T100000Z
UID:TALK18764@talks.cam.ac.uk
CONTACT:Prof. Mihalis Dafermos
DESCRIPTION:I will discuss recent joint work with A. Ionescu and S. Klaine
 rman on the black hole uniqueness problem. A classical result of  Hawking 
 (building on earlier work of Carter and Robinson) asserts that any  vacuum
 \, stationary black hole exterior region must be isometric to the Kerr ext
 erior\, under the restrictive assumption that the space-time metric should
  be analytic in the entire exterior region. We prove that Hawking's theore
 m remains valid without the assumption of analyticity\, for black hole ext
 eriors which are apriori assumed to be "close" to the Kerr exterior soluti
 on in a very precise sense. Our method of proof relies on certain geometri
 c Carleman-type estimates for the wave operator.
LOCATION:CMS\, MR12
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