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The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

The effect of noise induced by gravitons has been investigated using a Bose-Einstein condensate. The gravitational wave perturbation is then considerd as a sum of discrete Fourier modes in the momentum space. Coming to an operatorial…

High Energy Physics - Theory · Physics 2024-07-17 Soham Sen , Sunandan Gangopadhyay

Partly motivated by recent proposals for the detection of gravitational waves, we study their interaction with Bose-Einstein condensates. For homogeneous condensates at rest, the gravitational wave does not directly create phonons (to…

Quantum Physics · Physics 2018-12-05 Ralf Schützhold

We discuss the backreaction force exerted by quantum fluctuations in dilute Bose-Einstein condensates onto the motion of the classical background, derived by an ab initio approach from microscopic physics. It is shown that the…

Other Condensed Matter · Physics 2010-12-02 Uwe R. Fischer

We search for acoustic analogues of a spherical symmetric black hole with a pointlike source. We show that the gravitational system has a dynamical counterpart in the constrained, steady motion of a fluid with a planar source. The equations…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mariano Cadoni , Salvatore Mignemi

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

The main aim of the present work is to demonstrate that the analogue gravity phenomena are not an artifact of linear perturbation, rather gravity-like effects emerge through the non linear higher order perturbation of transonic fluid as…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Rohit Ghosh , Souvik Ghose , Biplab Raychaudhuri , Apashanka Das , Tapas K. Das

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

Nonlinear acoustic evolution is often discussed in the context of wave-steepening that leads to shock formation, and is of special interest in applications where the shock continues to strengthen due to a narrowing of its channel or the…

Fluid Dynamics · Physics 2023-12-27 Tamar Faran , Christopher D. Matzner , Eliot Quataert

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We describe an analog model for quantum gravity effects in condensed matter physics. The situation discussed is that of phonons propagating in a fluid with a random velocity wave equation. We consider that there are random fluctuations in…

High Energy Physics - Theory · Physics 2014-11-21 G. Krein , G. Menezes , N. F. Svaiter

Two common concepts of nonreciprocity in sound propagation are based on nonlinear effects [1, 2] and on local circulation of fluid [3, 4]. They originate from two known methods of breaking a time reversal symmetry, that is necessary for…

Fluid Dynamics · Physics 2018-05-23 E. Walker , A. Neogi , A. Bozhko , J. Arriaga , Hyeonu Hu , Jaeyung Ju , A. A. Krokhin

The analog acoustic metric has been originally derived for adiabatic acoustic perturbations propagating in an isentropic irrotational ideal fluid. In the framework of a Lagrangian hydrodynamic description we demonstrate that under certain…

General Relativity and Quantum Cosmology · Physics 2019-03-07 Neven Bilić , Hrvoje Nikolić

By employing the formalism of hydrodynamics, we derive novel analytic predictions for the Doppler effect in superfluids with broken Galilean invariance and hosting persistent currents at zero temperature. We consider two scenarios: when…

Quantum Gases · Physics 2025-07-15 Tomasz Zawiślak , Marija Šindik , Sandro Stringari , Alessio Recati

We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at the boundary of the medium encoded in the Dirichlet-to-Neumann…

Analysis of PDEs · Mathematics 2022-03-08 Gunther Uhlmann , Yang Zhang

We first review some aspects of gravitational wave and the thermodynamic expression of Einstein field equations, these achieved conclusions allow people to think of Einstein's gravitational wave as a kind of sound wave in ordinary gas which…

General Relativity and Quantum Cosmology · Physics 2014-06-18 Ming Chen , Yong-Chang Huang

Satellite observations of acoustic-gravity waves in the polar regions of the atmosphere indicate a close connection of these waves with wind flows. The paper investigates the peculiarities of the propagation of AGWs in spatially…

Atmospheric and Oceanic Physics · Physics 2023-11-09 A. K. Fedorenko , E. I. Kryuchkov , O. K. Cheremnykh , Yu. O. Klymenko , S. V. Melnychuk

A gravitational wave must be nonlinear to be able to transport its own source, that is, energy and momentum. A physical gravitational wave, therefore, cannot be represented by a solution to a linear wave equation. Relying on this property,…

General Relativity and Quantum Cosmology · Physics 2010-03-02 R. Aldrovandi , J. G. Pereira , Roldao da Rocha , K. H. Vu

We calculate the gravitational wave spectrum generated by sound waves during a cosmological phase transition, incorporating several advancements beyond the current state-of-the-art. Rather than relying on the bag model or similar…

High Energy Physics - Phenomenology · Physics 2024-09-24 Chi Tian , Xiao Wang , Csaba Balázs

Acoustic torsion recently introduced in the literature (Garcia de Andrade,PRD(2004),7,64004) is extended to rotational incompressible viscous fluids represented by the generalised Navier-Stokes equation. The fluid background is compared…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. C. Garcia de Andrade