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Using the action principle we first review how linear density perturbations (sound waves) in an Eulerian fluid obey a relativistic equation: the d'Alembert equation. This analogy between propagation of sound and that of a massless scalar…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Balbinot , A. Fabbri , S. Fagnocchi , R. Parentani

We present an analysis of scattering by a fluid-mechanical `black hole analogue', known as the draining bathtub vortex: a two-dimensional flow which possesses both a sonic horizon and an ergoregion. We consider the scattering of a plane…

General Relativity and Quantum Cosmology · Physics 2013-07-02 Sam R. Dolan , Ednilton S. Oliveira

When a fluid jet strikes an inclined solid surface at normal incidence, gravity creates a flow pattern with a thick outer rim resembling a parabola and reminiscent of a hydraulic jump. There appears to be little theory or experiments…

Fluid Dynamics · Physics 2010-09-02 Jean-Luc Thiffeault , Andrew Belmonte

In this article, we explore an alternative derivation of Hawking radiation. Instead of the field-theoretic derivation, we have suggested a simpler calculation based on quantum mechanical reflection from a one-dimensional potential. The…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Pritam Nanda , Chiranjeeb Singha , Pabitra Tripathy , Amit Ghosh

We examine Hawking radiation for a (2+1)-dimensional spinning black hole and study the interesting possibility of tunneling through the event horizon which acts as a classically forbidden barrier. Our finding shows it to be much lower than…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Sauvik Sen

Vacuum quantum fluctuations near horizons are known to yield correlated emission by the Hawking effect. We use a driven-dissipative quantum fluid of microcavity polaritons as an analog model of a quantum field theory on a black-hole…

We explore the method of Robinson and Wilczek for deriving the Hawking temperature of a black hole. In this method, the Hawking radiation restores general covariance in an effective theory of near-horizon physics which otherwise exhibits a…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das , Sean P. Robinson , Elias C. Vagenas

This is an extended version of our previous letter hep-th/0602146. In this paper we consider rotating black holes and show that the flux of Hawking radiation can be determined by anomaly cancellation conditions and regularity requirement at…

High Energy Physics - Theory · Physics 2008-11-26 Satoshi Iso , Hiroshi Umetsu , Frank Wilczek

We derive a class of non-stationary embedded rotating black holes and study the Hawking's radiation effects on these embedded black holes. The surface gravity, entropy and angular velocity, which are three important properties of black…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ng Ibohal , L Dorendro

In this work, we consider the fluid/gravity correspondence for general rotating black holes. By using the Petrov-like boundary condition in near horizon limit, we study the correspondence between gravitational perturbation and fluid…

High Energy Physics - Theory · Physics 2015-11-30 Xiaoning Wu , Yi Yang , Pei-Hung Yuan , Chia-Jui Cho

Here we propose a minimal analog gravity setup and suggest how to select two surface gravity wave packets in order to mimic some key aspects of Hawking radiation from the horizon of non-rotating black holes. Our proposed setup, unlike the…

Fluid Dynamics · Physics 2020-11-25 Anirban Guha , Eyal Heifetz , Akanksha Gupta

Analogical thinking is a valuable tool in theoretical physics, since it allows us to take the understanding we have developed in one system and apply it to another. In this thesis, we study the analogy between two seemingly unlikely…

General Relativity and Quantum Cosmology · Physics 2020-09-07 Sam Patrick

The main topic of this talk is the Hawking effect when the black holes in question are undergoing a uniform acceleration. The semiclassical effect of the acceleration is most striking when the Hawking temperature equals the acceleration…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piljin Yi

Hawking radiation, the spontaneous emission of thermal photons from an event horizon, is one of the most intriguing and elusive predictions of field theory in curved spacetimes. A formally analogue phenomenon occurs at the supersonic…

Quantum Gases · Physics 2017-12-06 A. Parola , M. Tettamanti , S. L. Cacciatori

The late stages of the relaxation process of a black hole are expected to depend only on its mass and angular momentum and not on the details of its formation process. Inspired by recent analogue gravity experiments, which demonstrate that…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Theo Torres , Sam Patrick , Maurício Richartz , Silke Weinfurtner

The Hawking effect -- the spontaneous emission of correlated quanta from horizons -- can be observed in laboratory systems where an acoustic horizon forms when a fluid transitions from subcritical to supercritical flow. Although most…

Recent studies [J. Steinhauer, Nature Phys., $\textbf{10}$, 864 (2014); Phys. Rev. D $\textbf{92}$, 024043 (2015)] provide compelling evidences that Hawking radiation could be experimentally proven by using an analogue black hole. In this…

General Relativity and Quantum Cosmology · Physics 2016-09-20 I. Sakalli , A. Ovgun , K. Jusufi

When a falling jet of fluid strikes a horizontal fluid layer, a hydraulic jump arises downstream of the point of impact provided a critical flow rate is exceeded. We here examine a phenomenon that arises below this jump threshold, a…

Fluid Dynamics · Physics 2014-03-06 Matthieu Labousse , John W. M. Bush

We study the axisymmetric, time-dependent hydrodynamics of rotating flows that are under the influence of supermassive black hole gravity and radiation from an accretion disk surrounding the black hole. This work is an extension of the…

Astrophysics · Physics 2009-11-13 Daniel Proga , Jeremiah P. Ostriker , Ryuichi Kurosawa

In this thesis, we study several features of Hawking radiation in the presence of ultraviolet Lorentz violations. These violations are implemented by a modified dispersion relation that becomes nonlinear at short wavelengths. The…

High Energy Physics - Theory · Physics 2014-05-15 Antonin Coutant