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SUMMARY: Cauchy Evolution of Asymptotically Global AdS Spacetimes with No 
 Symmetries - Lorenzo Rossi (Queen Mary University)
DTSTART:20210305T130000Z
DTEND:20210305T140000Z
UID:TALK157735@talks.cam.ac.uk
CONTACT:Justin Ripley
DESCRIPTION:I will present the first proof-of-principle Cauchy evolutions 
 of asymptotically global AdS spacetimes with no imposed symmetries\, emplo
 ying a numerical scheme based on the generalized harmonic form of the Eins
 tein equations.\nIn this scheme\, the main difficulty in removing all symm
 etry assumptions can be phrased in terms of finding a set of generalized h
 armonic source functions that are consistent with AdS boundary conditions.
 \nIn four spacetime dimensions\, we detail an explicit set of source funct
 ions that achieves evolution in full generality.\nA similar prescription s
 hould also lead to stable evolution in higher spacetime dimensions\, vario
 us couplings with matter fields\, and on the Poincaré patch.\nWe apply th
 is scheme to obtain the first long-time stable 3+1 simulations of four dim
 ensional spacetimes with a negative cosmological constant\, using initial 
 data sourced by a massless scalar field.\nI will show preliminary results 
 of gravitational collapse with no symmetry assumptions\, and the subsequen
 t quasi-normal mode ringdown to a static black hole in the bulk\, which co
 rresponds to evolution towards a homogeneous state on the boundary.
LOCATION:Zoom
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