Title	Weakly asymptotically hyperbolic solutions to the Einstein constraint equations
Creator	Allen, Paul T
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-07-20T09:30
Description	We introduce a class of ``weakly asymptotically hyperbolic'' geometries whose sectional curvatures tend to \(-1\) and are \(C^0\) but not necessarily \(C^2\) conformally compact. We establish Fredholm results for geometric elliptic operators in this setting. We use these results to construct constant-mean-curvature solutions to the Einstein constraint equations in the weakly asymptotically hyperbolic setting. We furthermore can ensure that our solutions satisfy the shear-free condition, which is necessary for any spacetime development to admit a regular conformal boundary at future null infinity. This is joint work with James Isenberg, John M. Lee, and Iva Stavrov Allen.
Extent	22 minutes
Subject	Mathematics; Relativity and gravitational theory; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Lewis & Clark College
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340782
URI	http://hdl.handle.net/2429/60360
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Weakly asymptotically hyperbolic solutions to the Einstein constraint equations Allen, Paul T

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