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

Vieira, H. S.; Bezerra, V. B.

doi:10.1007/s10714-016-2082-x

Cited by 27 publications

(20 citation statements)

References 65 publications

(102 reference statements)

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“…Furthermore, the DRS method only requires the existence of a future horizon and is independent from the dynamical details of the horizon formation process. For applications of the DRS method, the reader may refer to [26,27,[51][52][53][54][55][56][57]. This method is also closely related to the near-horizon conformal property of the black hole geometry [58,59].…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation

Сакалли¹

2016

Phys. Rev. D

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Charged massive scalar fields are studied in the gravitational, electromagnetic, dilaton, and axion fields of rotating linear dilaton black holes. In this geometry, we separate the covariant Klein-Gordon equation into radial and angular parts and obtain the exact solutions of both the equations in terms of the confluent Heun functions. Using the radial solution, we study the problems of resonant frequencies, entropy/area quantization, and greybody factor. We also analyze the behavior of the wave solutions near the event horizon of the rotating linear dilaton black hole and derive its Hawking temperature via the Damour-Ruffini-Sannan method.

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Section: Introductionmentioning

confidence: 99%

Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation

Сакалли¹

2016

Phys. Rev. D

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“…(16). Studies of the draining bathtub model have actually concluded that the radial function in this case can be expressed in terms of Heun functions (see, e.g., [37]). It seems, however, that not much use can be made of these functions to find the relevant information to obtain the acoustic clouds.…”

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confidence: 98%

Acoustic clouds: Standing sound waves around a black hole analogue

et al. 2015

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Under certain conditions sound waves in fluids experience an acoustic horizon with analogue properties to those of a black hole event horizon. In particular, a draining bathtub-like model can give rise to a rotating acoustic horizon and hence a rotating black hole (acoustic) analogue. We show that sound waves, when enclosed in a cylindrical cavity, can form stationary waves around such rotating acoustic holes. These acoustic perturbations display similar properties to the scalar clouds that have been studied around Kerr and Kerr-Newman black holes; thus they are dubbed acoustic clouds. We make the comparison between scalar clouds around Kerr black holes and acoustic clouds around the draining bathtub explicit by studying also the properties of scalar clouds around Kerr black holes enclosed in a cavity. Acoustic clouds suggest the possibility of testing, experimentally, the existence and properties of black hole clouds, using analog models.

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“…We can start by writing the spherically symmetric solution of incompressible fluid or the so-called canonical acoustic black hole metric found by Visser written as follows [36,42]…”

Section: Canonical Acoustic Black Holesmentioning

confidence: 99%

“…Then, it's not difficult to show that we end up with a spherically symmetric acustic metric also known as a canonical acoustic black hole as [42,43]…”

Section: Canonical Acoustic Black Holesmentioning

confidence: 99%

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Canonical acoustic thin-shell wormholes

Jusufi

Овгун

2017

Mod. Phys. Lett. A

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In this paper we model a canonical acoustic thin shell wormhole (CATSW) in the framework of analogue gravity systems. In this model we apply cut and paste technique to join together two spherically symmetric, analogue canonical acoustic solutions, and compute the analogue surface density/surface pressure of the fluid using the Darmois-Israel formalism. We study the stability analyses by using a linear barotropic fluid (LBF), chaplygin fluid (CF), logarithmic fluid (LogF), polytropic fluid (PF), and finally Van der Waals Quintessence (VDWQ). We show that a kind of analog acoustic fluid with negative energy is required at the throat to keep the wormhole stable. It is argued that, CATSW can be a stabile thin-shell wormhole if we choose a suitable parameter values.

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

Cited by 27 publications

References 65 publications

Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation

Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation

Acoustic clouds: Standing sound waves around a black hole analogue

Canonical acoustic thin-shell wormholes

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