# YTF 20

Dec 15 – 16, 2020
Centre for Particle Theory, Durham
Europe/London timezone

## Moduli space of five-dimensional black holes

Dec 16, 2020, 10:00 AM
30m
Teams (Centre for Particle Theory, Durham)

### Teams

#### Centre for Particle Theory, Durham

IPPP & Dept. Mathematical Sciences Durham University South Road Durham DH1 3LE

### Speaker

Fred Tomlinson (University of Edinburgh)

### Description

The classification of equilibrium black hole solutions is a fundamental problem in General Relativity. In four spacetime dimensions this is essentially answered by the black hole uniqueness theorem, which roughly states that the only asymptotically flat, stationary black hole solution to the vacuum Einstein equations is the Kerr solution. In higher-dimensional spacetimes, there is no such simple uniqueness theorem - this was revealed by the striking discovery of the black ring, a black hole with horizon topology $S^2 \times S^1$. Alongside the spherical topology Myers-Perry black hole (the natural higher dimensional Kerr analogue), this explicitly shows that even vacuum black holes are not uniquely specified by their mass and angular momenta.

So what is known about black holes in five-dimensional GR? In this talk I will give an overview of the situation and briefly discuss a new classification result leading towards a better understanding of a particular class of these solutions.

Would you be interested in receiving feedback on your talk? Yes No 15-25 minutes No

### Primary author

Fred Tomlinson (University of Edinburgh)

### Co-author

James Lucietti (University of Edinburgh)