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In this paper we report on what we believe is the first successful implementation of relativistic hydrodynamics, coupled to dynamical spacetimes, in spherical polar coordinates without symmetry assumptions. We employ a high-resolution…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Pedro J. Montero , Thomas W. Baumgarte , Ewald Müller

Using functional methods, we investigate the sound quanta arising from quantized hydrodynamic fields in simple liquids at low temperatures, under the influence of high-energy processes, coming from non-hydrodynamic degrees of freedom. To…

Disordered Systems and Neural Networks · Physics 2025-12-24 I. P. de Freitas , F. Sobrero , A. M. S. Macedo , N. F. Svaiter

Schwinger Keldysh field theory is a widely used paradigm to study non-equilibrium dynamics of quantum many-body systems starting from a thermal state. We extend this formalism to describe non-equilibrium dynamics of quantum systems starting…

Statistical Mechanics · Physics 2019-03-13 Ahana Chakraborty , Pranay Gorantla , Rajdeep Sensarma

Classical relativistic field theory is applied to perfect and magneto-hydrodynamic flows. The fields for Hamilton's principle are shown to be the Lagrangian coordinates of the fluid elements, which are potentials for the matter current…

General Physics · Physics 2007-05-23 Sylvan A. Jacques

We consider the 3-dimensional formulation of Einstein's theory for spacetimes possessing a non-null Killing field $\xi^a$. It is known that for the vacuum case some of the basic field equations are deducible from the others. It will be…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Istvan Racz

We present a systematic means to impose Galilean invariance within field theory. We begin by defining the most general background geometries consistent with Galilean invariance and then turn to applications within effective field theory,…

High Energy Physics - Theory · Physics 2023-02-02 Michael Geracie

We apply a recently developed effective string theory for vortex lines to the case of two-dimensional trapped superfluids. We do not assume a perturbative microscopic description for the superfluid, but only a gradient expansion for the…

High Energy Physics - Theory · Physics 2017-09-20 Angelo Esposito , Rafael Krichevsky , Alberto Nicolis

We apply "hydrodynamic" effective field theory techniques to an ersatz Fermi liquid. Our effective theory, which captures the correlation functions of density operators at each angle on the Fermi surface, can only deviate from conventional…

Strongly Correlated Electrons · Physics 2024-07-09 Xiaoyang Huang , Andrew Lucas , Umang Mehta , Marvin Qi

We solve Einstein's field equations coupled to relativistic hydrodynamics in full 3+1 general relativity to evolve astrophysical systems characterized by strong gravitational fields. We model rotating, collapsing and binary stars by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Matthew D. Duez , Pedro Marronetti , Stuart L. Shapiro , Thomas W. Baumgarte

A rigorous method for introducing the variational principle describing relativistic ideal hydrodynamic flows with all possible types of breaks (including shocks) is presented in the framework of an exact Clebsch type representation of the…

Fluid Dynamics · Physics 2007-05-23 A. V. Kats

We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of…

Analysis of PDEs · Mathematics 2026-04-10 Jeongho Kim , Bora Moon

The Eulerian perfect-fluid theory is reformulated from its action principle in a pure field-theoretic manner. Conservation of the convective current is no longer imposed by Lin's constraints, but rather adopted as the central idea of the…

High Energy Physics - Theory · Physics 2017-12-07 Taketo Ariki , Pablo A. Morales

We investigate certain invariance properties of quantum fluids subject to a nonlinear gauge potential. In particular, we derive the covariant transformation laws for the nonlinear potentials under a space-time Galilean boost and consider…

Quantum Gases · Physics 2021-01-06 Yvan Buggy , Patrik Öhberg

Viscous hydrodynamics serves as a successful mesoscopic description of the Quark-Gluon Plasma produced in relativistic heavy-ion collisions. In order to investigate, how such an effective description emerges from the underlying microscopic…

High Energy Physics - Theory · Physics 2023-11-16 Stephan Ochsenfeld , Sören Schlichting

The group-theoretic approach is used to construct exact solutions to perfect fluid equations invariant under the Schrodinger group, or the l-conformal Galilei group, or the Lifshitz group. In each respective case, the velocity vector field…

Mathematical Physics · Physics 2026-05-22 Anton Galajinsky

We present a numerical method to solve the equations of general relativistic hydrodynamics in a given external gravitational field. The method is based on a generalization of Roe's approximate Riemann solver for the non relativistic Euler…

Astrophysics · Physics 2007-05-23 Frits Eulderink , Garrelt Mellema

Characteristic methods show excellent promise in the evolution of single black hole spacetimes. The effective coupling with matter fields may help the numerical exploration of important astrophysical systems such as neutron star black hole…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose A Font , Philippos Papadopoulos

We study dynamics of (anomalous) Galilean superfluid up to first order in derivative expansion, both in parity-even and parity-odd sectors. We construct a relativistic system -- null superfluid, which is a null fluid (introduced in…

High Energy Physics - Theory · Physics 2017-09-20 Nabamita Banerjee , Suvankar Dutta , Akash Jain

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

Statistical Mechanics · Physics 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Rabin Banerjee , Pradip Mukherjee