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The conformal method gives a poor parameterization of initial data Dilts, James
Description
Because of the well-posedness of the Field Equations, one can parameterize the set of all spacetimes by parameterizing the set of all ”initial data” solving the Einstein constraint equations. The standard technique used in this attempt is the conformal method. This method performs admirably for initial data with constant and near-constant mean curvatures. However, more recent results have shown problems for far-from-constant mean curvature data. Notably, last year, The-Cang Nguyen found families of data on Yamabe positive manifolds which exhibit both non-existence and non-uniqueness in that regime, though this result was for a fairly special class of data. Recent (mostly numerical) work with Michael Holst and David Maxwell have shown that these results are much more general, though not universal. In this talk we will discuss these results, their implications, and possible future directions.
Item Metadata
Title |
The conformal method gives a poor parameterization of initial data
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-07-20T10:33
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Description |
Because of the well-posedness of the Field Equations, one can parameterize the set of all spacetimes by parameterizing the set of all ”initial data” solving the Einstein constraint equations. The standard technique used in this attempt is the conformal method. This method performs admirably for initial data with constant and near-constant mean curvatures. However, more recent results have shown problems for far-from-constant mean curvature data. Notably, last year, The-Cang Nguyen found families of data on Yamabe positive manifolds which exhibit both non-existence and non-uniqueness in that regime, though this result was for a fairly special class of data. Recent (mostly numerical) work with Michael Holst and David Maxwell have shown that these results are much more general, though not universal. In this talk we will discuss these results, their implications, and possible future directions.
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Extent |
29 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: UC: San Diego
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Series | |
Date Available |
2017-02-04
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340785
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International