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SUMMARY:Gilbert Weinstein (Ariel University\, Israel)
DTSTART:20260305T143000Z
DTEND:20260305T153000Z
DTSTAMP:20260423T040933Z
UID:jomarec/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/49/"
 >The mass angular momentum inequality</a>\nby Gilbert Weinstein (Ariel Uni
 versity\, Israel) as part of JoMaReC - Joint Online Mathematical Relativit
 y Colloquium\n\n\nAbstract\nIn this talk\,I will discuss our recent result
 . Either there is a counterexample to black hole uniqueness\, or the follo
 wing statement holds. Axisymmetric\, complete\, simply connected\, maximal
  initial data sets for the Einstein equations of nonnegative energy densit
 y with ends that are either asymptotically flat or asymptotically cylindri
 cal\, admit an ADM mass lower bound given by the square root of total angu
 lar momentum. Moreover\, equality is achieved only for a constant time sli
 ce of an extreme Kerr spacetime. The proof is based on a novel flow of sin
 gular harmonic maps with hyperbolic plane target\, under which the renorma
 lized harmonic energy is monotonically nonincreasing. Relevant properties 
 of the flow are achieved through a refined asymptotic analysis of solution
 s to the linearized harmonic map equations.\n\nThis is joint work with Qin
 g Han\, Marcus Khuri\, and Jingang Xiong.\n
LOCATION:https://researchseminars.org/talk/jomarec/49/
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