Gregory-Laflamme and Superradiance encounter Black Resonator Strings

Abstract

We construct novel black strings that are neither time-translation invariant, nor axisymmetric, nor translationally invariant in the string direction, but nevertheless have a helical Killing vector field. These solutions branch from the superradiant instability of $D=6$ Myers-Perry black strings with equal angular momenta. We coin these solutions as {\it black resonator strings} and we find that they have more entropy than Myers-Perry black strings for the energies and angular momenta where both solutions coexist. We also construct Kaluza-Klein geons, which share the symmetries of black resonator strings, but are horizonless. Unlike in other superradiant systems, Kaluza-Klein geons are not the horizonless limit of black resonator strings and are instead entirely separate solutions.

35 pages, 8 figures. v2: Matches published version (minor improvements)

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Cited by in corpus (7)

• Spectral method for metric perturbations of black holes: Kerr background case in general relativity
• Spectral Method for the Gravitational Perturbations of Black Holes: Schwarzschild Background Case
• Black hole superradiant instability for massive spin-2 fields
• Instability and backreaction of massive spin-2 fields around black holes
• Superradiance Instabilities of Charged Black Holes in Einstein-Maxwell-scalar Theory
• Superradiance and black resonator strings encounter helical black strings
• The Low Energy Limit of BFSS Quantum Mechanics