Session S19 - Geometric and Analytic Aspects of General Relativity

Monday, July 12, 18:00 ~ 19:00 UTC-3

On the construction of initial data sets

Armando Cabrera Pacheco

Universität Tübingen, Germany   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

From the point of view of the Cauchy problem for the Einstein equations, a fundamental problem is to understand and construct solutions to the so called constraint equations; those solutions are referred to as initial data sets. Although this is a very challenging problem, several methods exist to construct and study such solutions, under particular conditions. Remarkably, many of these methods are tailored to obtain time symmetric initial data sets. In this talk, we will give a short review of this problem and well known relevant results, we will then report some progress on a project focused, in part, to constructing initial data sets when time symmetry is not assumed.

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