# Stefano Borghini: Static vacuum spacetimes with positive cosmological constant

**Time: **
Thu 2019-09-26 11.00 - 12.00

**Lecturer: **
Stefano Borghini, Uppsala University

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

### Abstract

We discuss the problem of the classification of static vacuum spacetimes in the case of positive cosmological constant. To this end, we develop some new or improved tools to study extremal points of real analytic functions. Building on this, we deduce a new characterization of the Schwarzschild–de Sitter solution based on the geometry of the maximum set of the lapse. This is a joint work with P. T. Chruściel and L. Mazzieri.