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SUMMARY:Ricci flow\, braneworld black holes and N=4 super Yang Mills on Sc
 hwarzschild - Pau Figueras\, DAMTP
DTSTART:20110311T130000Z
DTEND:20110311T140000Z
UID:TALK28533@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:In this talk I first review a new method\, borrowed from the R
 icci Flow literature\, to solve (numerically) the Einstein equations for s
 tatic spacetimes. The method is based on a generalisation of the usual har
 monic-coordinate gauge fixing and\, as I will show\, it is governed by a m
 aximum principle which allows one to rule out the existence of Ricci solit
 ons in favourable circumstances. As a first application of the method I\nw
 ill show how to construct (using Ricci Flow) the gravitational dual of N=4
  super Yang-Mills on the background of the 4d Schwarzschild black hole. Th
 is provides the first quantitative calculation of a stress tensor of a str
 ongly coupled 4d field theory in the background of a black hole. As a seco
 nd application\, I will construct localised black holes on a 3-brane in th
 e\ncontext of Randall-Sundrum infinite braneworld scenario. Our work shoul
 d answer the question of existence of static black holes on the brane. 
LOCATION:Pavilion B Potter Room (B1.19)
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