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On the Uniqueness Problem for Spacetime Extensions

Offered By: Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Tags

General Relativity Courses Differential Geometry Courses Euclidean Spaces Courses Lorentzian Manifolds Courses

Course Description

Overview

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Explore the uniqueness problem for spacetime extensions in this 47-minute talk by Jan Sbierski, presented at the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Delve into the conditions under which two extensions of a Lorentzian manifold must be identical at the boundary. Examine a classical example demonstrating that uniqueness at the boundary can fail even with analytic extensions, contrasting sharply with function extensions in Euclidean space. Learn about a recent result providing a necessary condition for two extensions with Lipschitz continuous metrics to agree at the boundary. Investigate the relationship to Chruściel's previous work and discover a new non-uniqueness mechanism for extensions below Lipschitz regularity.

Syllabus

Jan Sbierski - On the uniqueness problem for spacetime extensions


Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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