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SUMMARY:The AdS/Ricci-flat correspondence and some applications - Marco M.
  Caldarelli (Southampton)
DTSTART:20130607T120000Z
DTEND:20130607T130000Z
UID:TALK44528@talks.cam.ac.uk
CONTACT:Dr Joan Camps
DESCRIPTION:I will present a remarkable connection between solutions to va
 cuum Einstein gravity and to anti-de Sitter (AdS) gravity.\nMore precisely
 \,  for every asymptotically anti–de Sitter (AdS) solution compactified 
 on a torus there is a corresponding Ricci-flat solution obtained by replac
 ing the torus by a sphere\, performing a Weyl rescaling of the metric and 
 appropriately analytically continuing the dimension of the torus/sphere.\n
 This operation maps Minkowski spacetime to AdS on a torus and AdS black br
 anes to Schwarzschild black branes. When acting on the known solutions des
 cribing the hydrodynamic regime in AdS/CFT\, it yields the stress tensor o
 f asymptotically flat black branes to second order\, which are constrained
  by the parent conformal symmetry. \nI will conclude with two simple appli
 cations of this correspondence: the analysis of the Gregory-Laflamme unsta
 ble modes of a black string\, and the study the fluid dual to Rindler spac
 etime.
LOCATION:Pavilion B Potter Room (B1.19)
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