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Title	On the centre of mass of asymptotically hyperbolic initial data sets
Creator	Cederbaum, Carla
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-15T15:31
Description	In many situations in Newtonian gravity, understanding the motion of the center of mass of a system is key to understanding the general "trend" of the motion of the system. It is thus desirable to also devise a notion of center of mass with similar properties in general relativity. However, while the definition of the center of mass via the mass density is straightforward in Newtonian gravity, there is a priori no definitive corresponding notion in general relativity, let alone in the asymptotically hyperbolic setting. I will present a geometric approach to defining the center of mass of an asymptotically hyperbolic initial data set, using foliations by constant mean curvature near the asymptotically hyperbolic end of the initial data set. This approach is joint work with Cortier and Sakovich, builds upon work by Neves and Tian, and extends results in the asymptotically Euclidean case going back to Huisken and Yau.
Extent	57.0
Subject	Mathematics Global analysis, analysis on manifolds Relativity and gravitational theory Global analysis
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Universitat Tubingen
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377276
URI	http://hdl.handle.net/2429/69036
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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