31 October 2025 to 2 November 2025
MacKinnon Building
Canada/Eastern timezone

Asymptotically Euclidean Solutions of the Constraint Equations with Prescribed Asymptotics

1 Nov 2025, 14:20
15m
113 (MacKinnon Building)

113

MacKinnon Building

Speaker

James Wheeler (University of Michigan)

Description

I will discuss ongoing work on the construction of asymptotically flat vacuum initial data sets in General Relativity via the conformal method. My collaborators and I have demonstrated that certain asymptotic structures may be prescribed a priori through the method's seed data, including the ADM momentum components, the leading- and next-to-leading-order decay rates, and anisotropy in the metric's mass term, yielding a recipe to construct initial data sets with desired asymptotics. As an application, we discuss a simple numerical example, with stronger asymptotics than have been presented in previous work, of an initial data set whose evolution does not exhibit the conjectured antipodal symmetry between future and past null infinity.

Author

James Wheeler (University of Michigan)

Co-authors

David Garfinkle (Oakland University) David Maxwell (University of Alaska) James Isenberg (University of Oregon) Lydia Bieri (University of Michigan)

Presentation materials

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