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Related papers: Physics of Relativistic Perfect Fluids

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We show that combinations of (in general, non-linear) 2- and 3-form fields analogous to the Maxwell (1-form) field, completely describe perfect fluids, including the rotating ones. In the non-rotating case, the 2-form field in sufficient,…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Nikolai V. Mitskievich

The necessary and sufficient conditions for a perfect energy tensor to describe the energy evolutions of a monoatomic relativistic Synge gas are obtained. Then, a Rainich-like theory for the Einstein-Synge solutions can be constructed.…

General Relativity and Quantum Cosmology · Physics 2022-12-23 Salvador Mengual , Joan Josep Ferrando , Juan Antonio Sáez

We show that a relativistic gas may be at ``global'' equilibrium in the expanding universe for any equation of state $0 < p \leq \rho /3$, provided that the gas particles move under the influence of a self-interacting, effective…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Winfried Zimdahl , Alexander B. Balakin

Stationary axisymmetric perfect fluid space-times are investigated using the curvature description of geometries. Attention is focused on space-times with a vanishing electric part of the Weyl tensor. It is shown that the only…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Fodor , M. Marklund , Z. Perjés

We review basic ingredients of the recently introduced perfect-fluid hydrodynamic equations for particles with spin one-half. For a quasi-realistic setup, first numerical solutions for various hydrodynamic variables including the spin…

Using classical description of spin degrees of freedom, we extend recent formulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the case including dissipation. Our work is based on the analysis of classical kinetic…

This is an important and natural question as the spacetime shear, inhomogeneity and tidal effects are all intertwined via the Einstein field equations. However, as we show in this paper, such scenarios are possible for limited classes of…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Jonathan Hakata , Rituparno Goswami , Chevarra Hansraj , Sunil D. Maharaj

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

Statistical Mechanics · Physics 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

In this paper, we study damped oscillating form of dark energy for explaining dynamics of universe. First of all, we consider universe is filled with an ideal fluid which has damped oscillating dark energy in terms of this case we calculate…

General Relativity and Quantum Cosmology · Physics 2015-08-13 Nilay Bostan , Ekrem Aydiner

Superfluid condensates are known to occur in contexts ranging from laboratory liquid helium to neutron stars, and are also likely to occur in cosmological phenomena such as axion fields. In the zero temperature limit, such condensates are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brandon Carter

We investigate the thermodynamics of equilibrium thermal states and their near-equilibrium dynamics in systems with fractonic symmetries in arbitrary curved space. By explicitly gauging the fracton algebra we obtain the geometry and gauge…

High Energy Physics - Theory · Physics 2024-02-01 Jay Armas , Emil Have

Relativistic heavy ion collisions have reached energies that enable the creation of a novel state of matter termed the quark-gluon plasma. Many observables point to a picture of the medium as rapidly equilibrating and expanding as a nearly…

Nuclear Theory · Physics 2011-07-19 James L. Nagle , Ian G. Bearden , William A. Zajc

Local thermal equilibrium generally implies the absence of heat flux within a fluid. We find the relations between a set of thermodynamic variables of a fluid on a general spacetime and those defined on a conformally connected spacetime,…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Bhera Ram , Bibhas Ranjan Majhi

In this work, we will introduce a general framework to derive the thermodynamics of a fluid mechanical system, which guarantees the consistence between the energetic variational approaches with the laws of thermodynamics. In particular, we…

Analysis of PDEs · Mathematics 2021-02-24 Chun Liu , Jan-Eric Sulzbach

We show in this article that depending on the flow conditions the same fluid can be considered as a perfect fluid or on the contrary as viscous fluid. These properties are addressed by emptying a tank. we show that we pass from one regime…

Fluid Dynamics · Physics 2019-12-02 Thomas Gibaud , Alain Gibaud

We give a variational formulation of perfect fluids on a general pseudoriemannian manifold by variating tangent fields according the flux produced by them. In this approach no constraints are needed. As a result, Euler and continuity…

General Relativity and Quantum Cosmology · Physics 2018-03-26 Ricardo Alonso-Blanco , Jesús Muñoz-Díaz

We study perfect fluid cosmological models with a constant equation of state parameter $\gamma$ in which there are two naturally defined time-like congruences, a geometrically defined geodesic congruence and a non-geodesic fluid congruence.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. A. Coley , S. Hervik , W. C. Lim

We examine the problem of the construction of a first order symmetric hyperbolic evolution system for the Einstein-Maxwell-Euler system. Our analysis is based on a 1+3 tetrad formalism which makes use of the components of the Weyl tensor as…

General Relativity and Quantum Cosmology · Physics 2012-07-11 Daniela Pugliese , Juan A. Valiente Kroon

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

A newly proposed framework of perfect-fluid relativistic hydrodynamics for particles with spin 1/2 is briefly reviewed. The hydrodynamic equations follow entirely from the conservation laws for energy, momentum, and angular momentum. The…

Nuclear Theory · Physics 2019-02-20 W. Florkowski , B. Friman , A. Jaiswal , R. Ryblewski , E. Speranza