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Annegret Burtscher
(University of Vienna, Université Paris VI)

Title: On the mathematical framework in general relativity


Can we describe our universe with one equation? What would it look like? When Einstein invented his general theory of relativity, he used geometry to describe gravitation. More precisely, the curvature of spacetime is directly related to the energy and momentum of matter (or vacuum) using the Einstein equations.
We first review the notion of curvature in differential geometry and state the Einstein equations, a system of nonlinear partial differential equations. In the second part of the talk we focus on the initial value problem in general relativity and discuss recent progress on global aspects.

Faculty of Mathematics
University of Vienna

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