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It has been established in the literature that the matter Lagrangian of an ideal fluid can be expressed either as its total energy density or as its pressure. In this work, we demonstrate that identifying the matter Lagrangian with the…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Sergio Mendoza , Sarahí Silva

Recently a new Lagrangian framework was introduced to describe interactions between scalar fields and relativistic perfect fluids. This allows two consistent generalizations of coupled quintessence models: non-vanishing pressures and a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-30 Tomi S. Koivisto , Emmanuel N. Saridakis , Nicola Tamanini

We explore the possibility that a scalar field with appropriate Lagrangian can mimic a perfect fluid with an affine barotropic equation of state. The latter can be thought of as a generic cosmological dark component evolving as an effective…

Astrophysics · Physics 2008-11-26 Claudia Quercellini , Marco Bruni , Amedeo Balbi

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

In this short note, we obtain the necessary and sufficient condition for a class of non-canonical single scalar field models to be exactly equivalent to barotropic perfect fluids, under the assumption of an irrotational fluid flow. An…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-06 Frederico Arroja , Misao Sasaki

Variational principle is the main approach to obtain complete and self-consistent field equations in gravitational theories. This method works well in pure field cases such as $f(R)$ and Horndeski gravities. However, debates exist in the…

General Relativity and Quantum Cosmology · Physics 2023-05-12 S. X. Tian , Zong-Hong Zhu

We develop a field theory description of non-dissipative string fluids and construct an explicit mapping between field theory degrees of freedom and hydrodynamic variables. The theory generalizes both a perfect particle fluid and…

High Energy Physics - Theory · Physics 2015-09-09 Daniel Schubring , Vitaly Vanchurin

The theory of perfect fluids is reconsidered from the point of view of a covariant Lagrangian theory. It has been shown that the Euler-Lagrange equations for a perfect fluid could be found in spaces with affine connections and metrics from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

Gravitational models with non-minimal couplings involving functions of the matter Lagrangian and curvature have become popular in recent decades. By coupling the matter Lagrangian directly to the gravitational Lagrangian, one hopes to…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Christian G. Boehmer , Erik Jensko , Eissa Al-Nasrallah

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

In this paper we show that the on-shell Lagrangian of a perfect fluid depends on microscopic properties of the fluid, giving specific examples of perfect fluids with different on-shell Lagrangians but with the same energy-momentum tensor.…

General Relativity and Quantum Cosmology · Physics 2018-03-28 P. P. Avelino , R. P. L. Azevedo

In this work, we consider different forms of relativistic perfect fluid Lagrangian densities, that yield the same gravitational field equations in General Relativity. A particularly intriguing example is the case with couplings of the form…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Orfeu Bertolami , Francisco S. N. Lobo , Jorge Páramos

A generalized three-form field is an extended version of the canonical three-form field by considering a Lagrangian of the generalized three-form field as a function of the kinetic and the mass terms. In this work, we investigated…

General Relativity and Quantum Cosmology · Physics 2017-08-31 Pitayuth Wongjun

The well-known Lagrangian of current superfluid systems is not relativistic covariant, this paper gives a general relativistic covariant Lagrangian of superfluid systems, and naturally finds the non-relativistic Lagrangian and its all…

General Physics · Physics 2017-07-18 Jia-Min Yuan , Yong-Chang Huang

Equations for a perfect fluid can be obtained by means of the variational principle both in the Lagrangian description and in the Eulerian one. It is known that we need additional fields somehow to describe a rotational isentropic flow in…

Fluid Dynamics · Physics 2010-10-27 Hiroki Fukagawa , Youhei Fujitani

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 entertain the possibility that the phenomena typically attributed to dark matter may have a fundamentally emergent nature, rather than arising from new particle degrees of freedom. To illustrate this idea, we consider a field-theoretic…

High Energy Physics - Phenomenology · Physics 2025-11-13 Christian Canete , Archil Kobakhidze

We revisit the issue of the correct Lagrangian description of a perfect fluid (pressure versus minus energy density) in relation with modified gravity theories in which galactic luminous matter couples nonminimally to the Ricci scalar.…

Astrophysics of Galaxies · Physics 2010-04-23 Valerio Faraoni

The connection is established between two different action principles for perfect fluids in the context of general relativity. For one of these actions, $S$, the fluid four--velocity is expressed as a sum of products of scalar fields and…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. David Brown

We derive a condition on the Lagrangian density describing a generic, single, non-canonical scalar field, by demanding that the intrinsic, non-adiabatic pressure perturbation associated with the scalar field vanishes identically. Based on…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-18 Sanil Unnikrishnan , L. Sriramkumar
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