Numerical construction and critical behavior of Kaluza-Klein black holes

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 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.

Section: No Warm Holes With Kaluza-klein Asymptoticsmentioning

confidence: 99%

Gregory-Laflamme and superradiance encounter black resonator strings

Dias

Ishii

Murata

et al. 2023

“…(See, e.g., refs. [34][35][36][37] for detailed calculations for Gregory-Laflamme transition, and ref. [38] for those with a boost.)…”

Section: Short Summary Of the Main Claimmentioning

confidence: 99%

Confinement/deconfinement transition in the D0-brane matrix model — A signature of M-theory?

Bergner

Bodendorfer

Hanada

et al. 2022

We study the confinement/deconfinement transition in the D0-brane matrix model (often called the BFSS matrix model) and its one-parameter deformation (the BMN matrix model) numerically by lattice Monte Carlo simulations. Our results confirm general expectations from the dual string/M-theory picture for strong coupling. In particular, we observe the confined phase in the BFSS matrix model, which is a nontrivial consequence of the M-theory picture. We suggest that these models provide us with an ideal framework to study the Schwarzschild black hole, M-theory, and furthermore, the parameter region of the phase transition between type IIA superstring theory and M-theory. A detailed study of M-theory via lattice Monte Carlo simulations of the D0-brane matrix model might be doable with much smaller computational resources than previously expected.

“…First, it would be interesting to clarify the generality of the resonance mechanism for flat spacetime asymptotics: does it work for any horizon topology and any dimension D ≥ 4? Furthermore, for the same matter content and D = 5, one could consider other type of solutions in Kaluza-Klein theory, such as caged BHs [82,83] and squashed BHs [84].…”

Section: Jhep10(2022)153mentioning

confidence: 99%

D = 5 static, charged black holes, strings and rings with resonant, scalar Q-hair

Brihaye

Herdeiro

Radu

2022

A mechanism for circumventing the Mayo-Bekenstein no-hair theorem allows endowing four dimensional (D = 4) asymptotically flat, spherical, electro-vacuum black holes with a minimally coupled U (1)-gauged scalar field profile: Q-hair. The scalar field must be massive, self-interacting and obey a resonance condition at the threshold of (charged) superradiance. We establish generality for this mechanism by endowing three different types of static black objects with scalar hair, within a D = 5 Einstein-Maxwell-gauged scalar field model: asymptotically flat black holes and black rings; and black strings which asymptote to a Kaluza-Klein vacuum. These D = 5 Q-hairy black objects share many of the features of their D = 4 counterparts. In particular, the scalar field is subject to a resonance condition and possesses a Q-ball type potential. For the static black ring, the charged scalar hair can balance it, yielding solutions that are singularity free on and outside the horizon.