Rado Lecture -- Geometric restrictions imposed on spacetime by the Einstein equations

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Richard Schoen
March 23, 2022
4:15PM - 5:15PM
Location
Journalism Building 0360

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Add to Calendar 2022-03-23 16:15:00 2022-03-23 17:15:00 Rado Lecture -- Geometric restrictions imposed on spacetime by the Einstein equations Title:  Geometric restrictions imposed on spacetime by the Einstein equations Speaker:  Richard Schoen (University of California - Irvine) Abstract:  The Einstein equations together with energy conditions on the matter fields lead to geometric and topological restrictions on spacetime. In many cases these restrictions are imposed through lower bounds on the scalar curvature of the Riemannian manifolds which arise as spacelike hypersurfaces in spacetime. Physical considerations of energy and momentum lead to mathematical conjectures about such manifolds. Some of  these, such as positive energy theorems, have been rigorously proven and others are unresolved. We will describe results and techniques which have bearing on such questions. Journalism Building 0360 Department of Mathematics math@osu.edu America/New_York public
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Title:  Geometric restrictions imposed on spacetime by the Einstein equations

Speaker:  Richard Schoen (University of California - Irvine)

Abstract:  The Einstein equations together with energy conditions on the matter fields lead to geometric and topological restrictions on spacetime. In many cases these restrictions are imposed through lower bounds on the scalar curvature of the Riemannian manifolds which arise as spacelike hypersurfaces in spacetime. Physical considerations of energy and momentum lead to mathematical conjectures about such manifolds. Some of  these, such as positive energy theorems, have been rigorously proven and others are unresolved. We will describe results and techniques which have bearing on such questions.

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