2017
DOI: 10.1103/physrevlett.119.261101
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Dynamical Formation of Kerr Black Holes with Synchronized Hair: An Analytic Model

Abstract: East and Pretorius have successfully evolved, using fully nonlinear numerical simulations, the superradiant instability of the Kerr black hole (BH) triggered by a massive, complex vector field. Evolutions terminate in stationary states of a vector field condensate synchronized with a rotating BH horizon. We show that these end points are fundamental states of Kerr BHs with synchronized Proca hair. Motivated by the "experimental data" from these simulations, we suggest a universal (i.e., field-spin independent)… Show more

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Cited by 82 publications
(89 citation statements)
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“…Something similar occurs in other scenarios, such as in scalar field theories, where the conditions to yield identical background solutions and linear perturbations are very special [70,71]. Thus, a dedicated analysis of the perturbation equations for gravitational waves and their phenomenological implications should be carried out for each gravity theory that generates the line element (3).…”
Section: Phenomenological Implicationsmentioning
confidence: 92%
“…Something similar occurs in other scenarios, such as in scalar field theories, where the conditions to yield identical background solutions and linear perturbations are very special [70,71]. Thus, a dedicated analysis of the perturbation equations for gravitational waves and their phenomenological implications should be carried out for each gravity theory that generates the line element (3).…”
Section: Phenomenological Implicationsmentioning
confidence: 92%
“…How much energy can be extracted from the Kerr BH region into the hair? Fully non-linear numerical evolutions of the superradiant instability of a Kerr BH triggered by a complex vector field were performed in [25], leading to the formation of that BH with synchronised (vector) hair [26], first discussed in [27]. These simulations showed that the maximal energy extracted was ∼ 0.09M of the original BH with mass M .…”
Section: The Hair Formation and Hair Instability Timescalesmentioning
confidence: 99%
“…Recently, however, Frolov et al [35] (henceforth FKKS), have found an ansatz, based on the conformal Killing-Yano 2-form, which separates the Proca quasi-normal mode equations on the Kerr-NUT-(A)dS family of spacetimes. We use this approach here, in which finding the spectrum of Proca modes reduces to solving two decoupled, differential eigenvalue problems, to systematically cover the parameter space of superradiantly bility [15,22,23], though these will still be unstable to higher m superradiant modes [24]. unstable modes.…”
Section: Introductionmentioning
confidence: 99%