# Superradiance in the BTZ black hole with Robin boundary conditions

@article{Dappiaggi2018SuperradianceIT, title={Superradiance in the BTZ black hole with Robin boundary conditions}, author={Claudio Dappiaggi and Hugo R. C. Ferreira and Carlos A. R. Herdeiro}, journal={Physics Letters B}, year={2018}, volume={778}, pages={146-154} }

## 13 Citations

### Superradiant instabilities in the Kerr-mirror and Kerr-AdS black holes with Robin boundary conditions

- Physics
- 2018

It has been recently observed that a scalar field with Robin boundary conditions (RBCs) can trigger both a superradiant and a bulk instability for a BTZ black hole (BH). To understand the generality…

### Aspects of the BTZ black hole interacting with fields

- PhysicsModern Physics Letters A
- 2019

We show that there is no superradiance for the Dirac field in the rotating BTZ black hole if the field vanishes at infinity. Then we outline the calculation of the expression for the renormalized…

### Boundary conditions for isolated asymptotically anti-de Sitter spacetimes

- MathematicsJournal of Mathematical Physics
- 2022

We revisit the propagation of classical scalar fields in a spacetime, which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives rise to an ambiguity…

### Spectroscopy of Kerr-AdS$_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation

- Physics
- 2022

We investigate quasinormal modes, greybody factor, and Hawking evaporation of a ﬁve-dimensional Kerr-anti de Sitter (AdS 5 ) black hole by solving a wave equation for a test massive scalar ﬁeld in…

### Ladder operators and quasinormal modes in Bañados-Teitelboim-Zanelli black holes

- Mathematics, PhysicsPhysical Review D
- 2022

We study quasinormal modes (QNMs) of massive Klein-Gordon ﬁelds in static Ba˜nados-Teitelboim-Zanelli (BTZ) black holes in terms of ladder operators constructed from spacetime conformal symmetries.…

### Quantum-corrected rotating black holes and naked singularities in ( 2+1 ) dimensions

- PhysicsPhysical Review D
- 2019

We analytically investigate the pertubative effects of a quantum conformally-coupled scalar field on rotating (2+1)-dimensional black holes and naked singularities. In both cases we obtain the…

### Analog model for the BTZ black hole

- PhysicsPhysical Review D
- 2022

We present an analog model for the Ba˜nados, Teitelboim, Zanelli (BTZ) black hole based on a hydrodynamical ﬂow. We numerically solve the fully nonlinear hydrodynamic equations of motion and observe…

### The Cauchy problem for Lorentzian Dirac operators under non-local boundary conditions

- Mathematics
- 2022

A BSTRACT . Non-local boundary conditions, such as the Atiyah-Patodi-Singer (APS) conditions, for Dirac operators on Riemannian manifolds are well under-stood while not much is known for such…

### Holographic open quantum systems: Toy models and analytic properties of thermal correlators

- Physics
- 2022

: We present a uniﬁed picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic anal-yses. Our treatment is…

### Black Holes and Superradiant Instabilities

- PhysicsSuperradiance
- 2020

Superradiant amplification lends itself to extraction of energy from BHs, but can also be looked at as the chief cause of a number of important instabilities in BH spacetimes. Some of these…

## References

SHOWING 1-10 OF 84 REFERENCES

### Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes.

- PhysicsPhysical review letters
- 2017

We study the growth and saturation of the superradiant instability of a complex, massive vector (Proca) field as it extracts energy and angular momentum from a spinning black hole, using numerical…

### Superradiant instabilities of rotating black holes in the time domain

- Physics
- 2013

Bosonic fields on rotating black hole spacetimes are subject to amplification by superradiance, which induces exponentially-growing instabilities (the “black hole bomb”) in two scenarios: if the…

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

- Physics
- 2016

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…

### Ground state for a massive scalar field in the BTZ spacetime with Robin boundary conditions

- Mathematics, Physics
- 2017

We consider a real, massive scalar field in BTZ spacetime, a 2+1-dimensional black hole solution of the Einstein's field equations with a negative cosmological constant. First, we analyze the space…

### Maxwell perturbations on asymptotically anti-de Sitter spacetimes: Generic boundary conditions and a new branch of quasinormal modes

- Physics
- 2015

Perturbations of asymptotically Anti-de-Sitter (AdS) spacetimes are often considered by imposing field vanishing boundary conditions (BCs) at the AdS boundary. Such BCs, of Dirichlet-type, imply a…

### Superradiance Instability of Small Rotating AdS Black Holes in Arbitrary Dimensions

- Physics
- 2015

We investigate the stability of $D$ dimensional singly rotating Myers-Perry-AdS black holes under superradiance against scalar field perturbations. It is well known that small four dimensional…

### Scalar clouds and the superradiant instability regime of Kerr-Newman black hole

- Physics
- 2016

In this paper, we study a physical system that is composed of a massive charged scalar field linearly coupled to a charged rotating Kerr-Newman black hole. Given the parameters of the black hole and…

### Dynamical Formation of Kerr Black Holes with Synchronized Hair: An Analytic Model.

- PhysicsPhysical review letters
- 2017

This work suggests a universal (i.e., field-spin independent), analytic model for the subset of BHs with synchronized hair that possess a quasi-Kerr horizon, applicable in the weak hair regime, and shows that the model is accurate for hairy BHS that may emerge dynamically from superradiance, whose domain the authors identify.