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UID:4546e1c9e3978324148ecafb4b56cdf0
CATEGORIES:Applied and Computational Math Seminar
CREATED:20231004T222504
SUMMARY:Homogenization in General Relativity
LOCATION:Hill 425
DESCRIPTION:Given their highly nonlinear nature, Einstein’s vacuum equations are not cl
 osed under weak convergence and hence sequences of weakly-convergent soluti
 ons may generate a non-trivial energy momentum tensor in the limit. In 1989
  Burnett conjectured that, for a sequence of vacuum solutions which oscilla
 tes with high frequency, this limit is characterized by the Einstein-massle
 ss Vlasov model: in particular, starting from vacuum, matter is generated t
 hrough homogenization. In this talk we will present a proof of this conject
 ure, under appropriate gauge and symmetry assumptions. Based on joint work 
 with Rita Teixeira da Costa (Princeton University).\n
X-ALT-DESC;FMTTYPE=text/html:<p><span style="color: #212529; font-family: 'Open Sans', sans-serif; font-
 size: 16px; font-style: normal; font-weight: 400; letter-spacing: normal; o
 rphans: 2; text-align: start; text-indent: 0px; text-transform: none; widow
 s: 2; word-spacing: 0px; white-space: normal; background-color: #ffffff; fl
 oat: none;">Given their highly nonlinear nature, Einstein’s vacuum equation
 s are not closed under weak convergence and hence sequences of weakly-conve
 rgent solutions may generate a non-trivial energy momentum tensor in the li
 mit. In 1989 Burnett conjectured that, for a sequence of vacuum solutions w
 hich oscillates with high frequency, this limit is characterized by the Ein
 stein-massless Vlasov model: in particular, starting from vacuum, matter is
  generated through homogenization. In this talk we will present a proof of 
 this conjecture, under appropriate gauge and symmetry assumptions. Based on
  joint work with Rita Teixeira da Costa (Princeton University).</span></p>
CONTACT:André Guerra (ETH Zürich)
X-EXTRAINFO:Joint with the Hyperbolic &amp; Dispersive PDE Seminar
DTSTAMP:20260826T234231
DTSTART;TZID=America/New_York:20231019T143000
DTEND;TZID=America/New_York:20231019T153000
SEQUENCE:0
TRANSP:OPAQUE
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