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SUMMARY:Constructing numerical counterexamples to the third law of black h
 ole mechanics - Maxime Gadioux (DAMTP)
DTSTART:20260227T130000Z
DTEND:20260227T140000Z
UID:TALK244669@talks.cam.ac.uk
CONTACT:Lorenzo Gavassino
DESCRIPTION:A few years ago\, Kehle and Unger proved that\, by sending fin
 ely tuned pulses of a charged scalar field into a black hole\, it is possi
 ble to form an extremal Reissner-Nordström black hole in finite time\, i.
 e. the third law is false. The proof makes use of characteristic gluing: a
  framework to build solutions to Einstein's equations by gluing two region
 s of spacetime along a null cone. In this talk\, I will present numerical 
 implementations of characteristic gluing. Firstly\, I will revisit the mod
 el of Kehle and Unger and numerically construct solutions to the character
 istic gluing problem. I will show how these solutions depend on the parame
 ters of the theory (charge and mass of the scalar field\, cosmological con
 stant)\, and discuss the differences between solutions of different levels
  of regularity. In the second part of the talk\, I will apply characterist
 ic gluing to the vacuum Einstein equations in 5d\, and will present a solu
 tion that forms an extremal Myers-Perry black hole in finite time. This is
  the first counterexample of the third law in vacuum gravity and shows tha
 t the law is false independently of any matter model. This talk is based o
 n work done with John Crump\, Harvey Reall and Jorge Santos.
LOCATION:Potter Room / Zoom :  https://cam-ac-uk.zoom.us/j/85131795570
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