# Black holes in higher dimensions

### Abstract

## People |
## ORCID iD |

James Lucietti (Principal Investigator) |

*Ricci solitons, Ricci flow and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua*in Classical and Quantum Gravity

*Null infinity and extremal horizons in AdS-CFT*in Classical and Quantum Gravity

*Black hole non-uniqueness via spacetime topology in five dimensions*in Journal of High Energy Physics

*Black lenses in string theory*in Physical Review D

*The first law of soliton and black hole mechanics in five dimensions*in Classical and Quantum Gravity

*Constructing near-horizon geometries in supergravities with hidden symmetry*in Journal of High Energy Physics

*Extremal Sasakian horizons*in Physics Letters B

*An Infinite Class of Extremal Horizons in Higher Dimensions*in Communications in Mathematical Physics

*Degenerate horizons, Einstein metrics, and Lens space bundles*in Journal of Geometry and Physics

### Related Projects

Project Reference | Relationship | Related To | Start | End | Award Value |
---|---|---|---|---|---|

EP/H00355X/1 | 01/10/2009 | 01/10/2010 | £446,982 | ||

EP/H00355X/2 | Transfer | EP/H00355X/1 | 01/10/2010 | 30/09/2014 | £362,066 |

Description | This research has advanced our understanding of the classification and stability of black holes in higher dimensions and opened up some new research avenues. Below is a summary of the key findings of this research. 1. The most significant result is the discovery of two novel types of five dimensional black hole solutions to the Einstein equations which exhibit new types of horizon or spacetime topology. This work poses fundamental new challenges to the string theory description of black holes. 2. Proved that all extreme black holes exhibit a certain kind of generic instability on their horizon. In particular, this work revealed a gravitational instability of such black holes within four dimensional General Relativity. 3. Initiated the use of Ricci flow in the context of the gauge/gravity duality to construct a novel type of solution to the Einstein equations. This provides important new insights into the nature of Hawking radiation in strongly coupled field theories. 4. Advanced the classification of near-horizon geometries of extreme black holes in diverse dimensions and theories, via the proof of new symmetry enhancement theorems and the construction of new higher dimensional solutions to the Einstein equations. |

Exploitation Route | The research conducted in this project is in fundamental mathematical sciences (physics). As such it is mostly of interest to other academics research in the same or related fields. In particular, the research lies at the interface of general relativity and string theory and may be of use to both of these research communities. |

Sectors |
Other |

Description | The research conducted in this project is in the fundamental mathematical sciences (physics). As such, it is purely aimed at furthering knowledge, rather than any specific economic of societal impact. |

Sector | Other |