Quasinormal modes, superradiance and area spectrum for acoustic black holes

Lepe, Samuel; Saavedra, Joel

doi:10.1016/j.physletb.2005.05.021

Cited by 74 publications

(57 citation statements)

References 23 publications

(36 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…As each reflection from the potential barrier in the superradiant regime increases the amplitude of the wave, the process of reflections will continue with increased energies of waves and, thus, one has an instability. The superradiance for various black holes was considered in [318][319][320][321][322][323][324][325] . We now discuss in more detail the instability due to the massive term.…”

Section: F Superradiant Instabilitymentioning

confidence: 99%

Quasinormal modes of black holes: From astrophysics to string theory

2011

View full text Add to dashboard Cite

Perturbations of black holes, initially considered in the context of possible observations of astrophysical effects, have been studied for the past ten years in string theory, brane-world models and quantum gravity. Through the famous gauge/gravity duality, proper oscillations of perturbed black holes, called quasinormal modes (QNMs), allow for the description of the hydrodynamic regime in the dual finite temperature field theory at strong coupling, which can be used to predict the behavior of quark-gluon plasmas in the nonperturbative regime. On the other hand, the brane-world scenarios assume the existence of extra dimensions in nature, so that multidimensional black holes can be formed in a laboratory experiment. All this stimulated active research in the field of perturbations of higher-dimensional black holes and branes during recent years. In this review recent achievements on various aspects of black hole perturbations are discussed such as decoupling of variables in the perturbation equations, quasinormal modes (with special emphasis on various numerical and analytical methods of calculations), late-time tails, gravitational stability, AdS/CFT interpretation of quasinormal modes, and holographic superconductors. We also touch on state-of-the-art observational possibilities for detecting quasinormal modes of black holes.

show abstract

Section: F Superradiant Instabilitymentioning

confidence: 99%

Quasinormal modes of black holes: From astrophysics to string theory

2011

View full text Add to dashboard Cite

show abstract

“…Superradiance [16,17] was first studied by Zel'Dovich for electromagnetic waves incident on a conductive rotating cylinder [18], but also pertains to black holes [19,20] and analogue black holes [14,15,[21][22][23][24]. See Ref.…”

Section: Introductionmentioning

confidence: 99%

Rotating black holes in a draining bathtub: Superradiant scattering of gravity waves

et al. 2015

View full text Add to dashboard Cite

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the water. Numerical integration of the associated Klein-Gordon equation using accessible experimental parameters shows that gravity waves in an appropriate frequency range are amplified through the mechanism of superradiance. Our numerical results suggest that the observation of this phenomenon in a common fluid mechanical system is within experimental reach. Unlike the case of wave scattering around Kerr black holes, which depends only on one dimensionless background parameter (the ratio a=M between the specific angular momentum and the mass of the black hole), our system depends on two dimensionless background parameters, namely the normalized angular velocity and surface gravity at the effective black hole horizon.

show abstract

“…On the contrary, we will consider the whole space, as well as the whole range of frequencies (or energies in the natural units), that is, 0 < ω ≤ ∞. From our solution, we can get the low frequency regime solution obtained by Lepe and Saavedra [48] as a particular case.…”

Section: Analytic Solutions Of the Massless Klein-gordon Equationmentioning

confidence: 98%

“…It is worth calling attention to the fact that we are using the analytic solution of the radial part of Klein-Gordon equation in the spacetime under consideration, differently from the calculations usually done in the literature [46,48]. Using the definitions of the tortoise and Eddington-Finkelstein coordinates, given by [54] …”

Section: Analogue Hawking Radiationmentioning

confidence: 99%

“…In order to investigate the superresonant scattering of acoustic disturbances from a rotating acoustic black hole it was found an approximate solution [47], in the low-frequency limit, which is given in terms of hypergeometric functions. This solution, with appropriate boundary conditions, was also used to compute the quasinormal modes [48] associated with an acoustic rotating black hole.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Acoustic black holes: massless scalar field analytic solutions and analogue Hawking radiation

Vieira

Bezerra

2016

Gen Relativ Gravit

View full text Add to dashboard Cite

We obtain the analytic solutions of the radial part of the massless Klein-Gordon equation in the spacetime of both three dimensional rotating and four dimensional canonical acoustic black holes, which are given in terms of the confluent Heun functions. From these solutions, we obtain the scalar waves near the acoustic horizon. We discuss the analogue Hawking radiation of massless scalar particles and the features of the spectrum associated with the radiation emitted by these acoustic black holes.

show abstract

Quasinormal modes, superradiance and area spectrum for acoustic black holes

Cited by 74 publications

References 23 publications

Quasinormal modes of black holes: From astrophysics to string theory

Quasinormal modes of black holes: From astrophysics to string theory

Rotating black holes in a draining bathtub: Superradiant scattering of gravity waves

Acoustic black holes: massless scalar field analytic solutions and analogue Hawking radiation

Contact Info

Product

Resources

About