Sam Collingbourne (University of Edinburgh) – The Gregory-Laflamme Instability of the Schwarzschild Black String
- Date
- @ Roger Stevens LT11, 15:00
- Location
- Roger Stevens LT11
- Speaker
- Sam Collingbourne
- Affiliation
- University of Edinburgh
- Category
- Geometry and Analysis
Gregory-Laflamme type instabilities seem to plague black holes in dimensions greater than 4. Gregory-Laflamme instabilities are exponentially growing solutions to the linearised Einstein vacuum equation and have been identified heuristically and numerically for black holes that have an event horizon that has one direction that is large compared to all others. In this talk, I will discuss a direct rigorous mathematical proof of the Gregory-Laflamme instability for the 5D Schwarzschild black string. The proof relies upon reducing the linearised vacuum Einstein equation to a Schrödinger equation to which direct variational methods can be applied.