AdS Robin solitons and their stability

Bizoń, Piotr; Hunik-Kostyra, Dominika; Maliborski, Maciej

doi:10.1088/1361-6382/ab7ee4

Cited by 6 publications

(6 citation statements)

References 14 publications

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“…The question of stability of the solutions with V ′′ (0) < 0 is unclear (compare [36], and there are in fact hints that some solutions with V ′′ (0) < 0 might be stable [9]), but this is irrelevant from the point of view of the question existence of static or stationary solutions, which is our main interest in this work.…”

Section: Static Metricsmentioning

confidence: 99%

Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields

Chruściel¹,

Delay²,

Klinger³

2018

Class. Quantum Grav.

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We use an elliptic system of equations with complex coefficients for a set of complex-valued tensor fields as a tool to construct infinite-dimensional families of non-singular stationary black holes, real-valued Lorentzian solutions of the Einstein-Maxwell-dilatonscalar fields-Yang-Mills-Higgs-Chern-Simons-f (R) equations with a negative cosmological constant. The families include an infinite-dimensional family of solutions with the usual AdS conformal structure at conformal infinity.

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Section: Static Metricsmentioning

confidence: 99%

Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields

Chruściel¹,

Delay²,

Klinger³

2018

Class. Quantum Grav.

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“…We will study the spectrum of the scalar field ϕ with conditions (2.2) and (2.3). In [21], it has been shown that the Klein-Gordon equation for spherically symmetric scalar field in the global AdS 4 reduces to equation (2.1) and instability has been found for certain Robin boundary conditions 2 . (See also [17] for the case of semi-infinite 1 Precisely speaking, the boundary condition (2.2) can be rewritten as…”

Section: Spectrummentioning

confidence: 99%

“…In [18][19][20], the effect of the Robin boundary condition on the superradiant instability of rotating and charged black holes in AdS was studied. A nonlinear solitonic solution was also explicitly constructed under the Robin condition as a candidate of the final fate of the instability of the global AdS [21]. In [22], hairy charged black holes and charged boson stars under the Robin conditions were constructed and their phase structure has been revealed.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition

Kinoshita,

Kozuka,

Murata

et al. 2024

Class. Quantum Grav.

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We study the quasinormal mode (QNM) spectrum of an asymptotically AdS black hole with the Robin boundary condition at infinity. We consider the Schwarzshild-AdS$_4$ with the flat event horizon as the background spacetime and study its scalar field perturbation. Denoting leading coefficients of slow- and fast-decay modes of the scalar field at infinity as $\phi_1$ and $\phi_2$, respectively, we assume a linear relation between them as $\phi_2 = \cot(\theta/2) \phi_1$, where $\theta$ is a constant called the Robin parameter and periodic under $\theta\sim\theta+2\pi$. In a certain range of the Robin parameter, there is an instability driven by the boundary condition. We also find the holonomy in the QNM spectrum under the parametric cycle of the boundary condition: $\theta=0\to2\pi$. After the one-cycle, $n$-th overtone of the QNM moves to $(n-1)$-th overtone. The fundamental tone of the QNM is swept out to the infinity in the complex plane.

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“…We will fine-tune and vary Q B in such a way that through eq. (3.43), the resultant φ 0 changes from where f = φ/z [31]. When α is large enough, the boundary condition reduces to β kα 2 that preserves all the asymptotic AdS symmetries [32].…”

Section: Interpolating Near Horizon To Asymptotic Adsmentioning

confidence: 99%

Flows of extremal attractor black holes

Iizuka

Ishibashi

2022

J. High Energ. Phys.

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We study flows of non-supersymmetric attractor black holes in the context of gauge/gravity correspondence. As our bulk theory, we consider the Einstein-Maxwell-Dilaton system with a single dilaton field coupled to two Maxwell fields and make a relevant deformation by adding a bare potential to the dilaton field. We find two types of extremal black hole solutions with attractor mechanism: the one smooth at the horizon and the other non-smooth. We show from both bulk and boundary theory perspective that the former is thermodynamically unstable, while the latter is stable.

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AdS Robin solitons and their stability

Cited by 6 publications

References 14 publications

Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields

Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields

Quasinormal mode spectrum of the AdS black hole with the Robin boundary condition

Flows of extremal attractor black holes

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