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SUMMARY:Lan-Hsuan Huang (University of Conneticut)
DTSTART:20210506T133000Z
DTEND:20210506T143000Z
DTSTAMP:20260423T022935Z
UID:jomarec/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/7/">
 Existence of static vacuum extensions</a>\nby Lan-Hsuan Huang (University 
 of Conneticut) as part of JoMaReC - Joint Online Mathematical Relativity C
 olloquium\n\n\nAbstract\nThe study of static vacuum Riemannian metrics ari
 ses naturally in general relativity and differential geometry. A static va
 cuum metric produces a static spacetime by a warped product\, and it is re
 lated to scalar curvature deformation and gluing. The well-known Uniquenes
 s Theorem of Static Black Holes says that an asymptotically flat\, static 
 vacuum metric with black hole boundary must belong to the Schwarzschild fa
 mily. In contrast to the rigidity phenomenon\, R. Bartnik conjectured that
  there are asymptotically flat\, static vacuum metric realizing certain ar
 bitrarily specified boundary data. I will discuss recent progress toward t
 his conjecture. It is based on joint work with Zhongshan An. \n \nIn the s
 econd part of the talk (if time permits)\, I will discuss related topics i
 n the non-time-symmetric case. In many ways\, a stationary vacuum initial 
 data set is a generalization of a static vacuum metric. However\, from the
  point of view of deforming the dominant energy condition\, we discover th
 at a “ground state” initial data set need not be stationary vacuum but
  can sit in a null dust spacetime with a global Killing vector field\, suc
 h as the pp-waves. This part is based on joint work with Dan Lee.\n
LOCATION:https://researchseminars.org/talk/jomarec/7/
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