"Non UBC"@en . "DSpace"@en . "Corvino, Justin"@en . "2017-02-04T19:13:53"@en . "2016-07-20T09:01"@en . "We discuss the extension of localized deformation results for the Einstein constraints map to the setting of the dominant energy condition. In the time-symmetric case, the analysis involves the scalar curvature map and the static vacuum equations. The case of the full constraints (joint work with Lan-Hsuan Huang) is more delicate where the dominant energy condition does not hold strictly, and a modified constraint operator is introduced in order to control the first-order change in the dominant energy inequality under perturbation. As time permits, we discuss applications to gluing and density results, and to the Bartnik mass."@en . "https://circle.library.ubc.ca/rest/handle/2429/60361?expand=metadata"@en . "26 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: Lafayette College"@en . "10.14288/1.0340783"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Relativity and gravitational theory"@en . "Differential geometry"@en . "Deformation and gluing for the Einstein constraints with the dominant energy condition"@en . "Moving Image"@en . "http://hdl.handle.net/2429/60361"@en .