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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY: Cauchy Evolution of Asymptotically Global AdS Spa
cetimes with No Symmetries - Lorenzo Rossi (Queen
Mary University)
DTSTART;TZID=Europe/London:20210305T130000
DTEND;TZID=Europe/London:20210305T140000
UID:TALK157735AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/157735
DESCRIPTION:I will present the first proof-of-principle Cauchy
evolutions of asymptotically global AdS spacetime
s with no imposed symmetries\, employing a numeric
al scheme based on the generalized harmonic form o
f the Einstein equations.\nIn this scheme\, the ma
in difficulty in removing all symmetry assumptions
can be phrased in terms of finding a set of gener
alized harmonic source functions that are consiste
nt with AdS boundary conditions.\nIn four spacetim
e dimensions\, we detail an explicit set of source
functions that achieves evolution in full general
ity.\nA similar prescription should also lead to s
table evolution in higher spacetime dimensions\, v
arious couplings with matter fields\, and on the P
oincarĂ© patch.\nWe apply this scheme to obtain the
first long-time stable 3+1 simulations of four di
mensional spacetimes with a negative cosmological
constant\, using initial data sourced by a massles
s scalar field.\nI will show preliminary results o
f gravitational collapse with no symmetry assumpti
ons\, and the subsequent quasi-normal mode ringdow
n to a static black hole in the bulk\, which corre
sponds to evolution towards a homogeneous state on
the boundary.
LOCATION:Zoom
CONTACT:Justin Ripley
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