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DTSTART;TZID=America/New_York:20220414T093000
DTEND;TZID=America/New_York:20220414T103000
DTSTAMP:20260522T172456
CREATED:20240214T083016Z
LAST-MODIFIED:20240301T112943Z
UID:10002589-1649928600-1649932200@cmsa.fas.harvard.edu
SUMMARY:Global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions n≥4
DESCRIPTION:Abstract: In this talk\, we briefly introduce our recent work on establishing the global existence and stability to the future of non-linear perturbation of de Sitter-like solutions to the Einstein-Yang-Mills system in n≥4 spacetime dimension. This generalizes Friedrich’s (1991) Einstein-Yang-Mills stability results in dimension n=4 to all higher dimensions. This is a joint work with Todd A. Oliynyk and Jinhua Wang.
URL:https://cmsa.fas.harvard.edu/event/4-14-2022-general-relativity-seminar/
LOCATION:Virtual
CATEGORIES:General Relativity Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220421T100000
DTEND;TZID=America/New_York:20220421T110000
DTSTAMP:20260522T172456
CREATED:20240214T095030Z
LAST-MODIFIED:20240301T114330Z
UID:10002648-1650535200-1650538800@cmsa.fas.harvard.edu
SUMMARY:Future stability of the $1+3$ Milne model for the Einstein-Klein-Gordon system
DESCRIPTION:Abstract: We study the small perturbations of the $1+3$-dimensional Milne model for the Einstein-Klein-Gordon (EKG) system. We prove the nonlinear future stability\, and show that the perturbed spacetimes are future causally geodesically complete.  For the proof\, we work within the constant mean curvature (CMC) gauge and focus on the $1+3$ splitting of the Bianchi-Klein-Gordon equations. Moreover\, we treat the Bianchi-Klein-Gordon equations as evolution equations and establish the energy scheme in the sense that we only commute the Bianchi-Klein-Gordon equations with spatially covariant derivatives while normal derivative is not allowed. We propose some refined estimates for lapse and the hierarchies of energy estimates to close the energy argument.
URL:https://cmsa.fas.harvard.edu/event/4-21-2022-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20220428T153500
DTEND;TZID=America/New_York:20220428T163500
DTSTAMP:20260522T172456
CREATED:20240301T114205Z
LAST-MODIFIED:20240301T114205Z
UID:10002896-1651160100-1651163700@cmsa.fas.harvard.edu
SUMMARY:A new proof for the nonlinear stability of slowly-rotating Kerr-de Sitter
DESCRIPTION:Abstract: The nonlinear stability of the slowly-rotating Kerr-de Sitter family was first proven by Hintz and Vasy in 2016 using microlocal techniques. In my talk\, I will present a novel proof of the nonlinear stability of slowly-rotating Kerr-de Sitter spacetimes that avoids frequency-space techniques outside of a neighborhood of the trapped set. The proof uses vectorfield techniques to uncover a spectral gap corresponding to exponential decay at the level of the linearized equation. The exponential decay of solutions to the linearized problem is then used in a bootstrap proof to conclude nonlinear stability.
URL:https://cmsa.fas.harvard.edu/event/4-28-2022-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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