On the nonexistence of a vacuum black lens

James Lucietti, Fred Tomlinson

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We demonstrate that five-dimensional, asymptotically flat, stationary and biaxisymmetric, vacuum black holes with lens space L(n,1) topology, possessing the simplest rod structure, do not exist. In particular, we show that the general solution on the axes and horizon, which we recently constructed by exploiting the integrability of this system, must suffer from a conical singularity on the inner axis component. We give a proof of this for two distinct singly spinning configurations and numerical evidence for the generic doubly spinning solution.
Original languageEnglish
Article number5
Number of pages23
JournalJournal of High Energy Physics
Issue number005
Publication statusPublished - 1 Feb 2021


Dive into the research topics of 'On the nonexistence of a vacuum black lens'. Together they form a unique fingerprint.

Cite this