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Related papers: Supersymmetric Chaplygin gas

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Following the construction of a model for the planar supersymmetric Chaplygin gas, supersymmetric fluid mechanics in (1+1)-dimensions is obtained from the light-cone parametrized Nambu-Goto superstring in (2+1)-dimensions. The lineal model…

Fluid Dynamics · Physics 2009-11-07 Y. Bergner , R. Jackiw

The relativistic generalization of the Chaplygin gas, put forward by Jackiw and Polychronakos, is derived in Duval's Kaluza-Klein framework, using a universal quadratic Lagrangian. Our framework yields a simplified proof of the…

High Energy Physics - Theory · Physics 2016-08-16 M. Hassaïne , P. A. Horváthy

We construct the N=1 supersymmetric extension of the polytropic gas dynamics. We give both the Lagrangian as well as the Hamiltonian description of this system. We construct the infinite set of "Eulerian'' conserved charges associated with…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Ziemowit Popowicz

We investigate the Tolman-Oppenheimer-Volkoff equations for the generalized Chaplygin gas with the aim of extending the findings of V. Gorini, U. Moschella, A. Y. Kamenshchik, V. Pasquier, and A. A. Starobinsky [Phys. Rev. D {\bf 78},…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. Gorini , A. Yu. Kamenshchik , U. Moschella , O. F. Piattella , A. A. Starobinsky

We consider a new approach for gravity theory coupled to Chaplygin matter in which the {\it{relativistic}} formulation of the latter is of crucial importance. We obtain a novel form of matter with dust like density $(\sim (volume)^{-1})$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rabin Banerjee , Subir Ghosh

We work out some properties of a recently proposed globally N = 1 supersymmetric extension of relativistic fluid mechanics in four-dimensional Minkowski space. We construct the lagrangean, discuss its symmetries and the corresponding…

High Energy Physics - Theory · Physics 2015-06-26 T. S. Nyawelo

We use standard techniques of hydrodynamics to construct a relativistic effective field theory for the low energy dynamics of nearly critical superfluids. In an appropriate non-relativistic limit, our theory predicts an additional…

High Energy Physics - Theory · Physics 2025-12-24 Aristomenis Donos , Polydoros Kailidis

In the frame of the scalar field model with non minimal kinetic coupling to gravity, we study the cosmological solutions of the Chaplygin gas model of dark energy. By appropriately restricting the potential, we found the scalar field, the…

High Energy Physics - Theory · Physics 2011-07-28 L. N. Granda , E. Torrente-Lujan , J. J. Fernandez-Melgarejo

We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics…

High Energy Physics - Theory · Physics 2014-12-24 Chi Xiong , Michael R. R. Good , Yulong Guo , Xiaopei Liu , Kerson Huang

We investigate the unification scenario provided by the generalised Chaplygin gas model (a perfect fluid characterized by an equation of state p = -A/\rho^{\alpha}). Our concerns lie with a possible tension existing between background…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-18 Juliano Pereira Campos , Júlio César Fabris , Rafael Perez , Oliver F. Piattella , Hermano Velten

The Chaplygin gas model, characterized by an equation of state of the type $p = - \frac{A}{\rho}$ emerges naturally from the Nambu-Goto action of string theory. This fluid representation can be recast under the form of a tachyonic field…

General Relativity and Quantum Cosmology · Physics 2015-05-13 C. E. M. Batista , J. C. Fabris , M. Morita

In this work the modified Chaplygin gas is related to a cosmological scalar field. Analytical results, more general than the solutions previously shown in the literature, are presented for the case when the curvature is absent, and one…

General Relativity and Quantum Cosmology · Physics 2008-03-03 Sandro Silva e Costa

We propose an alternative for the Clebsch decomposition of currents in fluid mechanics, in terms of complex potentials taking values in a Kahler manifold. We reformulate classical relativistic fluid mechanics in terms of these complex…

High Energy Physics - Theory · Physics 2011-10-11 T. S. Nyawelo , J. W. van Holten , S. Groot Nibbelink

Our recent result on the construction of perfect fluid equations with N=1,2 Schr\"odinger supersymmetry [Mod. Phys. Lett. A 41 (2026) 2550214] is extended to accommodate nonrelativistic conformal supersymmetries of other types. Two cases…

High Energy Physics - Theory · Physics 2026-05-20 Timofei Snegirev

We consider nonholonomic Chaplygin systems and associate to them a $(1,2)$ tensor field on the shape space, that we term the gyroscopic tensor, and that measures the interplay between the non-integrability of the constraint distribution and…

Mathematical Physics · Physics 2019-11-20 Luis C. García-Naranjo , Juan C. Marrero

A relativistic version of the rational extended thermodynamics of polyatomic gases based on a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal mode is…

Statistical Mechanics · Physics 2022-01-12 Takashi Arima , Maria Cristina Carrisi , Sebastiano Pennisi , Tommaso Ruggeri

The generalized Chaplygin gas is usually defined as a barotropic perfect fluid with an equation of state $p=-A \rho^{-\alpha}$, where $\rho$ and $p$ are the proper energy density and pressure, respectively, and $A$ and $\alpha$ are positive…

General Relativity and Quantum Cosmology · Physics 2018-08-22 V. M. C. Ferreira , P. P. Avelino

We consider a scalar field action for which the Lagrangian density is a power of the massless Klein-Gordon Lagrangian. The coupling of gravity to this matter action is considered. In this case, we show the existence of nontrivial scalar…

High Energy Physics - Theory · Physics 2009-11-11 Mokhtar Hassaine

In this work, the first-order constitutive equations for a relativistic charged gas are obtained based on the Chapman-Enskog expansion of near-equilibrium solutions to the Boltzmann equation by implementing the projection method. To this…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Carlos Gabarrete , Ana Laura García-Perciante , Olivier Sarbach

In this paper, we investigate the formation and propagation of singularities for the system for one-dimensional Chaplygin gas, which is described by a quasilinear hyperbolic system with linearly degenerate characteristic fields. The…

Analysis of PDEs · Mathematics 2016-05-10 De-Xing Kong , Changhua Wei
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