Static Black Hole Uniqueness Theorems - Lecture 2

Explore a comprehensive lecture on static black hole uniqueness theorems delivered by Carla Cederbaum from the University of Tubingen, Germany. Delve into the intricacies of classical extension, spacetime, and cross-sections as part of the ICTP School on Geometry and Gravity. Examine the concept of black hole uniqueness and its implications. Investigate the translation of these theories to scenarios involving a single black hole. Analyze the boundary conditions of all manifolds and learn how to foliate within the manifold. Conclude with a detailed proof of the static black hole uniqueness theorem, gaining a deeper understanding of this fundamental concept in theoretical physics and mathematics.

Introduction
Classical extension
Spacetime
Crosssection
Black hole uniqueness
Translation
One black hole
Boundary of all manifolds
Foliate in the manifold
Proof