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SUMMARY:On the third law of black hole mechanics for supersymmetric black 
 holes - Aidan McSharry (DAMTP).
DTSTART:20251121T130000Z
DTEND:20251121T140000Z
UID:TALK237745@talks.cam.ac.uk
CONTACT:Daniela Cors
DESCRIPTION:Recently it has been shown that the third law of black hole me
 chanics can be violated: an exactly extremal Reissner-Nordström black hol
 e can form in finite time in gravitational collapse of matter with a large
  charge to mass ratio. However\, it has also been proved that this cannot 
 happen if the matter satisfies a “supersymmetric” lower bound on its e
 nergy in terms of its charge. In this talk\, I will discuss these developm
 ents\, as well as extensions of this latter proof to supersymmetric black 
 holes with a negative cosmological constant and for such black holes (with
  non-positive cosmological constant) not formed in collapse. The proofs of
  these results rely on ideas related to quasi-local energy and proofs of t
 he positive energy theorems: these shall be discussed\, and the main theor
 em given as a rigidity result associated with the interior of a “supersy
 mmetric surface" - a concept to be introduced.
LOCATION:Potter Room / Zoom 
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