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The relation of a scalar field with a perfect fluid has generated some debate along the last few years. In this paper we argue that shift-invariant scalar fields can describe accurately the potential flow of an isentropic perfect fluid,…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Alberto Diez-Tejedor

n scalar-tensor theories of gravity with torsion, the gravitational field is described in terms of a symmetric metric tensor $g$, a metric-compatible connection $\nabla$ with torsion, and a scalar field $\phi$. The main aim is to explore an…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Chih-Hung Wang

We introduce a large class of scalar-tensor models with interactions containing the second derivatives of the scalar field but not leading to additional degrees of freedom. These models exhibit peculiar features, such as an essential mixing…

High Energy Physics - Theory · Physics 2010-10-27 Cedric Deffayet , Oriol Pujolas , Ignacy Sawicki , Alexander Vikman

Exact solutions of a classical problem of a plane unsteady potential flow of an ideal incompressible fluid with a free boundary are presented. The fluid occupies a semi-infinite strip bounded by the free surface (from above) and (from the…

Fluid Dynamics · Physics 2021-08-13 Evgenii A. Karabut , Elena N. Zhuravleva , Nikolay M. Zubarev , Olga V. Zubareva

We present a new formulation of non-dissipative relativistic spin hydrodynamics that incorporates spin degrees of freedom into the divergence-type theory framework. Due to the divergence-type structure, it is straightforward to enforce…

Nuclear Theory · Physics 2025-11-26 Nick Abboud , Lorenzo Gavassino , Rajeev Singh , Enrico Speranza

The contribution of the "rapid" part of the pressure diffusion to the turbulent kinetic energy balance is analyzed, and a new model to describe its effect is suggested. A new transport equation for the turbulent kinetic energy is derived.…

Fluid Dynamics · Physics 2007-05-23 Svetlana V. Poroseva , Gianluca Iaccarino

In this paper we assume that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations.

General Relativity and Quantum Cosmology · Physics 2024-02-26 Krishnendu De , Uday Chand De , Ljubica Velimirovic

This paper is concerned with the figures of equilibrium of a self-gravitating ideal fluid with density stratification and a steady-state velocity field. As in the classical setting, it is assumed that the figures or their layers uniformly…

Fluid Dynamics · Physics 2015-06-22 Ivan A. Bizyaev , Alexey V. Borisov , Ivan S. Mamaev

A global equilibrium state of a spin polarized fluid that undergoes constant acceleration along the stream lines is described as a solution of recently introduced perfect-fluid hydrodynamic equations with spin 1/2.

Nuclear Theory · Physics 2018-08-15 Wojciech Florkowski , Enrico Speranza , Francesco Becattini

Using lattice field theory techniques, we investigate the vacuum structure of the field theory corresponding to perfect fluid dynamics in the Lagrangian prescription. We find intriguing, but inconclusive evidence, that the vacuum of such a…

High Energy Physics - Lattice · Physics 2015-08-05 Tommy Burch , Giorgio Torrieri

We construct models of static spherical distributions of perfect fluid in trace--free Einstein gravity theory. The equations governing the gravitational field are equivalent to the standard Einstein's equations however, their presentation…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Sudan Hansraj , Rituparno Goswami , George Ellis , Njabulo Mkhize

We describe the linear cosmological perturbations of a perfect fluid at the level of an action, providing thus an alternative to the standard approach based only on the equations of motion. This action is suited not only to perfect fluids…

General Relativity and Quantum Cosmology · Physics 2010-04-29 Antonio De Felice , Jean-Marc Gerard , Teruaki Suyama

We consider the motion of the interface separating a vacuum from an inviscid, incompressible, and irrotational fluid, subject to the self-gravitational force and neglecting surface tension, in two space dimensions. The fluid motion is…

Analysis of PDEs · Mathematics 2015-11-04 Lydia Bieri , Shuang Miao , Sohrab Shahshahani , Sijue Wu

Shear viscosity measures the amount of internal friction in a simple fluid. In kinetic theory shear viscosity is related to momentum transport by quasi-particles, and the uncertainty relation implies that the ratio of shear viscosity eta to…

Fluid Dynamics · Physics 2010-01-15 Thomas Schaefer

We investigate a kinetic model for compressible non-ideal fluids [DOI:10.1103/PhysRevE.102.020103]. The model imposes the local thermodynamic pressure through a rescaling of the particles velocities, which accounts for both long- and…

Fluid Dynamics · Physics 2021-02-02 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

We present a reconstruction method for flat Friedman-Robertson-Walker (FRW) spacetime in a subclass of Horndeski theory -- specifically shiftsymmetric, the kinetic gravity braiding (KGB) theory with a non-vanishing conserved current.…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Ruslan K. Muharlyamov , Tatiana N. Pankratyeva

The low-energy dynamics of relativistic continuous media is given by a shift-symmetric effective theory of four scalar fields. These scalars describe the embedding in spacetime of the medium and play the role of St\"uckelberg fields for…

High Energy Physics - Theory · Physics 2016-08-03 Guillermo Ballesteros , Denis Comelli , Luigi Pilo

We derive the hydrodynamic equations of perfect fluids without boost invariance [1] from kinetic theory. Our approach is to follow the standard derivation of the Vlasov hierarchy based on an a-priori unknown collision functional satisfying…

High Energy Physics - Theory · Physics 2025-10-01 Kevin T. Grosvenor , Niels A. Obers , Subodh P. Patil

It is easy to reason that gravity might be the effect of a fluid in disguise, as it will naturally arise in emergent gravity models where gravity is due to the effect of some fundamental particles, with the latter expected to behave…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Jianwei Mei

Shear viscosity is a measure of the amount of dissipation in a simple fluid. In kinetic theory shear viscosity is related to the rate of momentum transport by quasi-particles, and the uncertainty relation suggests that the ratio of shear…

High Energy Physics - Phenomenology · Physics 2009-11-18 Thomas Schaefer , Derek Teaney