Analogue Gravity

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "Gravitation".

Deadline for manuscript submissions: closed (15 November 2022) | Viewed by 12789

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Guest Editor
Department of Physics, Indian Institute of Science, Bangalore 560012, India
Interests: physics of astrophysical compact objects including accretion disks and outflows/jets; astrophysical fluid dynamics; stellar physics; nuclear astrophysics; field theory in curved spacetime; general relativity and gravitation
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Guest Editor
Manipal Centre for Natural Sciences, Manipal Academy of Higher Education, Manipal 576 104, India
Interests: general relativity; relativistic astrophysics; black hole; naked singularity; gravitomagnetic monopole; frame-dragging effect; strong gravity; gravitational waves; relativistic accretion; QPOs; analogue models of gravity

Special Issue Information

Dear Colleagues,

Analogue models of gravity give us the rare opportunity to test kinematic aspects of gravity in a laboratory. Otherwise, we have almost no hope of verifying the long-standing pioneering predictions about the behavior of fields in the vicinity of black holes or cosmological horizons. In the last few years, great advances have been made in observing gravitational phenomena. Gravitational waves are routinely detected, which unravel, amongst other things, the mystery of masses of compact objects. It has been established through observational data that supermassive black holes reside at the center of almost all galaxies. The event horizon telescope is testing the validity of Einstein’s theory of gravity or some of its proposed modifications in the regions of extreme gravity close to a black hole. Still, some phenomena remain elusive. For example, how do we isolate signatures of black hole radiation from the sea of cosmic microwave background radiation and X-rays emitted during the accretion process?

Analogue models are simple physical systems where certain phenomena bear a correspondence with kinematic aspects of gravity. Usually, such systems exhibit a flow. The propagation of perturbations of an appropriately chosen variable describing the system can be likened with the propagation of a similar field in general curved spacetime. The correspondence with gravity can be established if we imagine that the said perturbation evolves in an effective analogue spacetime having an analogue metric. The analogue metric is naturally defined by the physical variables of the system, and by suitably choosing them, we can design metrics of our choice. This vastly expands the scope of Lorentzian geometry in physics beyond that of gravitation and lends a new perspective on the analogue systems themselves.

Since the inception of this beautiful idea with Unruh’s seminal paper on acoustic Hawking radiation in 1981, the field has seen much progress on all fronts—theory, simulations, and experiments. Analogues of Schwarzschild and Kerr spacetimes and the spacetime of an expanding Universe have been created in the laboratory. The first theoretically proposed analogue model of gravity was a classical inviscid fluid, and the relevant field was that of acoustic perturbations in the velocity potential. Soon, various novel analogue models were examined, such as gravity waves in water and quantum fluids like superfluid liquid helium, Bose–Einstein condensates, photon fluids, polariton fluids, quark gluon plasma produced in heavy ion collisions, etc. The greatest successes of this field have been the observation of Hawking radiation through correlations in density perturbations on either side of the analogue of a black hole horizon in a Bose–Einstein condensate and the detection of super-radiance through the scattering of surface waves from a draining bathtub vortex. These observations have confirmed that black hole radiation depends only on the geometry of spacetime.

We are now standing at the threshold of a new era of research in analogue gravity. It is now time to look back on the achievements and search for new gravitational phenomena that may reveal themselves through this correspondence, in previously unimagined ways. We welcome your ideas and opinions.

Prof. Dr. Banibrata Mukhopadhyay
Dr. Chandrachur Chakraborty
Guest Editors

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Keywords

  • acoustic horizon
  • black holes
  • Bose–Einstein condensation
  • expanding Universe in analogue systems
  • Hawking radiation
  • laboratory test of gravity
  • super-radiance

Published Papers (7 papers)

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Research

18 pages, 295 KiB  
Article
Boyer–Lindquist Space-Times and Beyond: Metamaterial Analogues for Arbitrary Space-Times
by Sebastian Schuster and Matt Visser
Universe 2024, 10(4), 159; https://doi.org/10.3390/universe10040159 - 28 Mar 2024
Cited by 8 | Viewed by 697
Abstract
Analogue space-times (and in particular metamaterial analogue space-times) have a long varied and rather complex history. Much of the previous related work to this field has focused on spherically symmetric models; however, axial symmetry is much more relevant for mimicking astrophysically interesting systems [...] Read more.
Analogue space-times (and in particular metamaterial analogue space-times) have a long varied and rather complex history. Much of the previous related work to this field has focused on spherically symmetric models; however, axial symmetry is much more relevant for mimicking astrophysically interesting systems that are typically subject to rotation. Now it is well known that physically reasonable stationary axisymmetric space-times can, under very mild technical conditions, be put into Boyer–Lindquist form. Unfortunately, a metric presented in Boyer–Lindquist form is not well adapted to the “quasi-Cartesian” metamaterial analysis that we developed in our previous articles on “bespoke analogue space-times”. In the current article, we shall first focus specifically on various space-time metrics presented in Boyer–Lindquist form, and subsequently determine a suitable set of equivalent metamaterial susceptibility tensors in a laboratory setting. We shall then turn to analyzing generic space-times, not even necessarily stationary, again determining a suitable set of equivalent metamaterial susceptibility tensors. Perhaps surprisingly, we find that the well-known ADM formalism proves to be not particularly useful, and that it is instead the dual “threaded” (Kaluza–Klein–inspired) formalism that provides much more tractable results. While the background laboratory metric is (for mathematical simplicity and physical plausibility) always taken to be Riemann flat, we will allow for arbitrary curvilinear coordinate systems on the flat background space-time. Finally, for completeness, we shall reconsider spherically symmetric space-times, but now in general spherical polar coordinates rather than quasi-Cartesian coordinates. In summary, this article provides a set of general-purpose calculational tools that can readily be adapted for mimicking various interesting (curved) space-times by using nontrivial susceptibility tensors in general (background-flat) laboratory settings. Full article
(This article belongs to the Special Issue Analogue Gravity)
12 pages, 258 KiB  
Article
Towards an Acoustic Geometry in Slightly Viscous Fluids
by Mayank Pathak and Parthasarathi Majumdar
Universe 2022, 8(4), 205; https://doi.org/10.3390/universe8040205 - 25 Mar 2022
Viewed by 1287
Abstract
We explore the behaviour of barotropic and irrotational fluids with a small viscosity under the effect of first-order acoustic perturbations. We discuss, following the extant literature, the difficulties in gleaning an acoustic geometry in the presence of viscosity. In order to obviate various [...] Read more.
We explore the behaviour of barotropic and irrotational fluids with a small viscosity under the effect of first-order acoustic perturbations. We discuss, following the extant literature, the difficulties in gleaning an acoustic geometry in the presence of viscosity. In order to obviate various technical encumbrances, when viscosity is present, for an extraction of a possible acoustic geometry, we adopted a method of double perturbations, whereby dynamical quantities such as the velocity field and potential undergo a perturbation both in viscosity and in an external acoustic stimulus. The resulting perturbation equations yield a solution which can be interpreted in terms of a generalised acoustic geometry, over and above the one known for inviscid fluids. Full article
(This article belongs to the Special Issue Analogue Gravity)
12 pages, 333 KiB  
Article
Analogue Metric in a Black-Bounce Background
by Kunal Pal, Kuntal Pal and Tapobrata Sarkar
Universe 2022, 8(4), 197; https://doi.org/10.3390/universe8040197 - 22 Mar 2022
Cited by 2 | Viewed by 1411
Abstract
The conventional approach of embedding an effective acoustic metric for sound motion in a background flat Minkowski space-time has recently been extended to incorporate more general curved background metrics, which might contain a black hole. Though the observational aspects of these kinds of [...] Read more.
The conventional approach of embedding an effective acoustic metric for sound motion in a background flat Minkowski space-time has recently been extended to incorporate more general curved background metrics, which might contain a black hole. Though the observational aspects of these kinds of acoustics horizons, including the sonic shadow structure and quasi normal modes, have received significant attention in the literature, there is room left for discussions about embedding more general classes of curved background space-times without optical horizons. Here, we propose and study a new class of acoustic metrics that is embedded in a black-bounce space-time, thereby giving a suitable tuneable system to understand possible observational effects of the presence or absence of acoustic horizons. After showing that the metric can represent five types of different effective backgrounds for sound motion, including a novel “acoustic wormhole–optical wormhole” branch, we discuss how the distinctive features of sonic shadows can appear even in the absence of any acoustic horizon due to the wormhole throat present in the acoustic metric. Full article
(This article belongs to the Special Issue Analogue Gravity)
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13 pages, 523 KiB  
Article
Spin Precession in the Gravity Wave Analogue Black Hole Spacetime
by Chandrachur Chakraborty and Banibrata Mukhopadhyay
Universe 2022, 8(3), 193; https://doi.org/10.3390/universe8030193 - 20 Mar 2022
Viewed by 1819
Abstract
It was predicted that the spin precession frequency of a stationary gyroscope shows various anomalies in the strong gravity regime if its orbit shrinks, and eventually, its precession frequency becomes arbitrarily high very close to the horizon of a rotating black hole. Considering [...] Read more.
It was predicted that the spin precession frequency of a stationary gyroscope shows various anomalies in the strong gravity regime if its orbit shrinks, and eventually, its precession frequency becomes arbitrarily high very close to the horizon of a rotating black hole. Considering the gravity waves of a flowing fluid with a vortex in a shallow basin, which acts as a rotating analogue black hole, one can observe the predicted strong gravity effect on the spin precession in the laboratory. Attaching a thread with the buoyant particles and anchoring it to the bottom of the fluid container with a short-length miniature chain, one can construct a simple local test gyroscope to measure the spin precession frequency in the vicinity of the gravity wave analogue black hole. The thread acts as the axis of the gyroscope. By regulating the orbital frequency of the test gyroscope, one can also measure the strong gravity Lense–Thirring effect and geodetic/de-Sitter effect with this experimental set-up as the special cases. For example, to measure the Lense–Thirring effect, the length of the miniature chain can be set to zero, so that the gyroscope becomes static. One can also measure the geodetic precession with this system by orbiting the test gyroscope in the so-called Keplerian frequency around the non-rotating analogue black hole that can be constructed by making the rotation of the fluid/vortex negligible compared to its radial velocity. Full article
(This article belongs to the Special Issue Analogue Gravity)
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19 pages, 788 KiB  
Article
Towards Quantum Simulation of Black Holes in a dc-SQUID Array
by Adrián Terrones and Carlos Sabín
Universe 2021, 7(12), 499; https://doi.org/10.3390/universe7120499 - 15 Dec 2021
Cited by 2 | Viewed by 2254
Abstract
We propose quantum simulations of 1 + 1D radial sections of different black hole spacetimes (Schwarzschild, Reissner–Nordstrøm, Kerr and Kerr–Newman), by means of a dc-SQUID array embedded on an open transmission line. This was achieved by reproducing the spatiotemporal dependence of 1 + [...] Read more.
We propose quantum simulations of 1 + 1D radial sections of different black hole spacetimes (Schwarzschild, Reissner–Nordstrøm, Kerr and Kerr–Newman), by means of a dc-SQUID array embedded on an open transmission line. This was achieved by reproducing the spatiotemporal dependence of 1 + 1D sections of the spacetime metric with the propagation speed of the electromagnetic field in the simulator, which can be modulated by an external magnetic flux. We show that the generation of event horizons—and therefore Hawking radiation—in the simulator could be achieved for non-rotating black holes, although we discuss limitations related to fluctuations of the quantum phase. In the case of rotating black holes, it seems that the simulation of ergospheres is beyond reach. Full article
(This article belongs to the Special Issue Analogue Gravity)
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7 pages, 231 KiB  
Communication
Analog Schwarzschild Black Hole from a Nonisentropic Fluid
by Neven Bilić and Hrvoje Nikolić
Universe 2021, 7(11), 413; https://doi.org/10.3390/universe7110413 - 29 Oct 2021
Cited by 1 | Viewed by 1158
Abstract
We study the conditions under which an analog acoustic geometry of a relativistic fluid in flat spacetime can take the same form as the Schwarzschild black hole geometry. We find that the speed of sound must necessarily be equal to the speed of [...] Read more.
We study the conditions under which an analog acoustic geometry of a relativistic fluid in flat spacetime can take the same form as the Schwarzschild black hole geometry. We find that the speed of sound must necessarily be equal to the speed of light. Since the speed of the fluid cannot exceed the speed of light, this implies that analog Schwarzschild geometry necessarily breaks down behind the horizon. Full article
(This article belongs to the Special Issue Analogue Gravity)
11 pages, 422 KiB  
Communication
Analogue Hawking Radiation in Nonlinear LC Transmission Lines
by Haruna Katayama, Noriyuki Hatakenaka and Ken-ichi Matsuda
Universe 2021, 7(9), 334; https://doi.org/10.3390/universe7090334 - 08 Sep 2021
Cited by 3 | Viewed by 1976
Abstract
Analogue systems are used to test Hawking radiation, which is hard to observe in actual black holes. One such system is the electrical transmission line, but it suffers the inevitable issue of excess heat that collapses the successfully generated analogue black holes. Soliton [...] Read more.
Analogue systems are used to test Hawking radiation, which is hard to observe in actual black holes. One such system is the electrical transmission line, but it suffers the inevitable issue of excess heat that collapses the successfully generated analogue black holes. Soliton provides a possible solution to this problem due to its stable propagation without unnecessary energy dissipation in nonlinear transmission lines. In this work, we propose analogue Hawking radiation in a nonlinear LC transmission line including nonlinear capacitors with a third-order nonlinearity in voltage. We show that this line supports voltage soliton that obeys the nonlinear Schrödinger equation by using the discrete reductive perturbation method. The voltage soliton spatially modifies the velocity of the electromagnetic wave through the Kerr effect, resulting in an event horizon where the velocity of the electromagnetic wave is equal to the soliton velocity. Therefore, Hawking radiation bears soliton characteristics, which significantly contribute to distinguishing it from other radiation. Full article
(This article belongs to the Special Issue Analogue Gravity)
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