Static black holes with axial symmetry in asymptotically<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>spacetime

Kichakova, Olga; Kunz, Jutta; Radu, Eugen; Shnir, Ya.

doi:10.1103/physrevd.93.044037

Cited by 10 publications

(7 citation statements)

References 82 publications

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“…It will then be interesting to understand the interplay between this well known family and the new family of "hairy" BHs. A different family of static BHs, in the Einstein-MaxwellAdS system, was reported in [50] (see also [9,51]). asymptotically, one concludes that there are no contributions for the angular momentum flux from the first term T r φ;I .…”

Section: Discussion and Final Remarksmentioning

confidence: 99%

Maxwell perturbations on Kerr–anti–de Sitter black holes: Quasinormal modes, superradiant instabilities, and vector clouds

Wang

Herdeiro

2016

Phys. Rev. D

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Scalar and gravitational perturbations on Kerr-anti-de Sitter (Kerr-AdS) black holes have been addressed in the literature and have been shown to exhibit a rich phenomenology. In this paper, we complete the analysis of bosonic fields on this background by studying Maxwell perturbations, focusing on superradiant instabilities and vector clouds. For this purpose, we solve the Teukolsky equations numerically, imposing the boundary conditions we have proposed in [1] for the radial Teukolsky equation. As found therein, two Robin boundary conditions can be imposed for Maxwell fields on Kerr-AdS black holes, one of which produces a new set of quasinormal modes even for Schwarzschild-AdS black holes. Here, we show these different boundary conditions produce two different sets of superradiant modes. Interestingly, the "new modes" may be unstable in a larger parameter space. We then study stationary Maxwell clouds that exist at the threshold of the superradiant instability, with the two Robin boundary conditions. These clouds, obtained at the linear level, indicate the existence of a new family of black hole solutions at the nonlinear level, within the Einstein-Maxwell-AdS system, branching off from the KerrNewman-AdS family. As a comparison with the Maxwell clouds, scalar clouds on Kerr-AdS black holes are also studied, and it is shown there are Kerr-AdS black holes that are stable against scalar, but not vector, modes with the same "quantum numbers".

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Section: Discussion and Final Remarksmentioning

confidence: 99%

Maxwell perturbations on Kerr–anti–de Sitter black holes: Quasinormal modes, superradiant instabilities, and vector clouds

Wang

Herdeiro

2016

Phys. Rev. D

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“…However, we may still have the angular dependence of the phase (£ m (i) α = 0 for some m a (i) ) in a static axially symmetric spacetime with the nonrotating Killing horizon H[k], see e.g. [66,67]. then the Eq.…”

Section: Complex Scalar Fieldsmentioning

confidence: 99%

Constraints on the symmetry noninheriting scalar black hole hair

Smolić

2017

Phys. Rev. D

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Any recipe to grow black hole hair has to circumvent no-hair theorems by violating some of their assumptions. Recently discovered hairy black hole solutions exist due to the fact that their scalar fields don't inherit the symmetries of the spacetime metric. We present here a general analysis of the constraints which limit the possible forms of such a hair, for both the real and the complex scalar fields. These results can be taken as a novel piece of the black hole uniqueness theorems or simply as a symmetry noninheriting Ansätze guide. In addition we introduce new classification of the gravitational field equations which might prove useful for various generalizations of the theorems about spacetimes with symmetries.

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“…The corresponding radial equation cannot, however, be solved in closed form any 36]. The radial function vanishes on the horizon, in the neighborhood of which it can be written as a power series in ðr − r H Þ.…”

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confidence: 99%

Static Einstein-Maxwell Black Holes with No Spatial Isometries in AdS Space

Herdeiro

Radu

2016

Phys. Rev. Lett.

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We explicitly construct static black hole solutions to the fully nonlinear, D ¼ 4, Einstein-Maxwellanti-de Sitter (AdS) equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but without isometries, and approach, asymptotically, global AdS spacetime. They are interpreted as bound states of a horizon with the Einstein-Maxwell-AdS solitons recently discovered, for appropriate boundary data. In sharp contrast to the uniqueness results for a Minkowski electrovacuum, the existence of these black holes shows that single, equilibrium, black hole solutions in an AdS electrovacuum admit an arbitrary multipole structure.

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Static black holes with axial symmetry in asymptoticallyAdS4spacetime

Cited by 10 publications

References 82 publications

Maxwell perturbations on Kerr–anti–de Sitter black holes: Quasinormal modes, superradiant instabilities, and vector clouds

Maxwell perturbations on Kerr–anti–de Sitter black holes: Quasinormal modes, superradiant instabilities, and vector clouds

Constraints on the symmetry noninheriting scalar black hole hair

Static Einstein-Maxwell Black Holes with No Spatial Isometries in AdS Space

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